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Finding the Fourth Proportional to 242,363.20, 363,549.84 and 64,870

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Solution

The fourth proportional to 242,363.20, 363,549.84 and 64,870 is: 97,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,363.20 : 363,549.84 = 64,870 : x
  2. Step 2: Convert to fraction form
    242,363.20/363,549.84 = 64,870/x
  3. Step 3: Cross multiply
    242,363.20x = 363,549.84 × 64,870
  4. Step 4: Simplify right side
    242,363.20x = 23,583,478,120.80
  5. Step 5: Solve for x
    x = 23,583,478,120.80/242,363.20
  6. Step 6: Final answer
    x = 97,306.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.