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Finding the Fourth Proportional to 242,002.30, 362,711.85 and 123,612.70

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Solution

The fourth proportional to 242,002.30, 362,711.85 and 123,612.70 is: 185,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,002.30 : 362,711.85 = 123,612.70 : x
  2. Step 2: Convert to fraction form
    242,002.30/362,711.85 = 123,612.70/x
  3. Step 3: Cross multiply
    242,002.30x = 362,711.85 × 123,612.70
  4. Step 4: Simplify right side
    242,002.30x = 44,835,791,100.50
  5. Step 5: Solve for x
    x = 44,835,791,100.50/242,002.30
  6. Step 6: Final answer
    x = 185,270.10

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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.