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Finding the Fourth Proportional to 215,899.40, 323,772.30 and 97,627.40

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Solution

The fourth proportional to 215,899.40, 323,772.30 and 97,627.40 is: 146,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,899.40 : 323,772.30 = 97,627.40 : x
  2. Step 2: Convert to fraction form
    215,899.40/323,772.30 = 97,627.40/x
  3. Step 3: Cross multiply
    215,899.40x = 323,772.30 × 97,627.40
  4. Step 4: Simplify right side
    215,899.40x = 31,609,047,841.02
  5. Step 5: Solve for x
    x = 31,609,047,841.02/215,899.40
  6. Step 6: Final answer
    x = 146,406.37

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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.