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Finding the Fourth Proportional to 285,491.14, 393,962.24 and 158,159.14

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Solution

The fourth proportional to 285,491.14, 393,962.24 and 158,159.14 is: 218,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,491.14 : 393,962.24 = 158,159.14 : x
  2. Step 2: Convert to fraction form
    285,491.14/393,962.24 = 158,159.14/x
  3. Step 3: Cross multiply
    285,491.14x = 393,962.24 × 158,159.14
  4. Step 4: Simplify right side
    285,491.14x = 62,308,729,070.87
  5. Step 5: Solve for x
    x = 62,308,729,070.87/285,491.14
  6. Step 6: Final answer
    x = 218,251.01

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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.