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Finding the Fourth Proportional to 120,167.50, 180,253.68 and 37,061.50

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Solution

The fourth proportional to 120,167.50, 180,253.68 and 37,061.50 is: 55,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,167.50 : 180,253.68 = 37,061.50 : x
  2. Step 2: Convert to fraction form
    120,167.50/180,253.68 = 37,061.50/x
  3. Step 3: Cross multiply
    120,167.50x = 180,253.68 × 37,061.50
  4. Step 4: Simplify right side
    120,167.50x = 6,680,471,761.32
  5. Step 5: Solve for x
    x = 6,680,471,761.32/120,167.50
  6. Step 6: Final answer
    x = 55,593.00

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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.