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Finding the Fourth Proportional to 285,446.40, 393,901.20 and 158,114.40

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Solution

The fourth proportional to 285,446.40, 393,901.20 and 158,114.40 is: 218,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,446.40 : 393,901.20 = 158,114.40 : x
  2. Step 2: Convert to fraction form
    285,446.40/393,901.20 = 158,114.40/x
  3. Step 3: Cross multiply
    285,446.40x = 393,901.20 × 158,114.40
  4. Step 4: Simplify right side
    285,446.40x = 62,281,451,897.28
  5. Step 5: Solve for x
    x = 62,281,451,897.28/285,446.40
  6. Step 6: Final answer
    x = 218,189.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.