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Finding the Fourth Proportional to 132,000.10, 198,000.15 and 100,896.10

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Solution

The fourth proportional to 132,000.10, 198,000.15 and 100,896.10 is: 151,344.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,000.10 : 198,000.15 = 100,896.10 : x
  2. Step 2: Convert to fraction form
    132,000.10/198,000.15 = 100,896.10/x
  3. Step 3: Cross multiply
    132,000.10x = 198,000.15 × 100,896.10
  4. Step 4: Simplify right side
    132,000.10x = 19,977,442,934.42
  5. Step 5: Solve for x
    x = 19,977,442,934.42/132,000.10
  6. Step 6: Final answer
    x = 151,344.15

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1.5x scale

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.