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Finding the Fourth Proportional to 242,193.12, 363,348 and 75,981.12

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Solution

The fourth proportional to 242,193.12, 363,348 and 75,981.12 is: 113,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,193.12 : 363,348 = 75,981.12 : x
  2. Step 2: Convert to fraction form
    242,193.12/363,348 = 75,981.12/x
  3. Step 3: Cross multiply
    242,193.12x = 363,348 × 75,981.12
  4. Step 4: Simplify right side
    242,193.12x = 27,607,587,989.76
  5. Step 5: Solve for x
    x = 27,607,587,989.76/242,193.12
  6. Step 6: Final answer
    x = 113,989.98

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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.