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Finding the Fourth Proportional to 108,576,438.70, 162,864,658.05 and 97,826,896.30

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Solution

The fourth proportional to 108,576,438.70, 162,864,658.05 and 97,826,896.30 is: 146,740,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,576,438.70 : 162,864,658.05 = 97,826,896.30 : x
  2. Step 2: Convert to fraction form
    108,576,438.70/162,864,658.05 = 97,826,896.30/x
  3. Step 3: Cross multiply
    108,576,438.70x = 162,864,658.05 × 97,826,896.30
  4. Step 4: Simplify right side
    108,576,438.70x = 15,932,544,013,992,310
  5. Step 5: Solve for x
    x = 15,932,544,013,992,310/108,576,438.70
  6. Step 6: Final answer
    x = 146,740,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.