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Finding the Fourth Proportional to 242,033.04, 363,084.12 and 75,834

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Solution

The fourth proportional to 242,033.04, 363,084.12 and 75,834 is: 113,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,033.04 : 363,084.12 = 75,834 : x
  2. Step 2: Convert to fraction form
    242,033.04/363,084.12 = 75,834/x
  3. Step 3: Cross multiply
    242,033.04x = 363,084.12 × 75,834
  4. Step 4: Simplify right side
    242,033.04x = 27,534,121,156.08
  5. Step 5: Solve for x
    x = 27,534,121,156.08/242,033.04
  6. Step 6: Final answer
    x = 113,761.83

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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.