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Finding the Fourth Proportional to 242,057.80, 362,957.10 and 101,657.80

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Solution

The fourth proportional to 242,057.80, 362,957.10 and 101,657.80 is: 152,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,057.80 : 362,957.10 = 101,657.80 : x
  2. Step 2: Convert to fraction form
    242,057.80/362,957.10 = 101,657.80/x
  3. Step 3: Cross multiply
    242,057.80x = 362,957.10 × 101,657.80
  4. Step 4: Simplify right side
    242,057.80x = 36,897,420,280.38
  5. Step 5: Solve for x
    x = 36,897,420,280.38/242,057.80
  6. Step 6: Final answer
    x = 152,432.27

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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.