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Finding the Fourth Proportional to 141,642, 212,463.14 and 58,538.16

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Solution

The fourth proportional to 141,642, 212,463.14 and 58,538.16 is: 87,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,642 : 212,463.14 = 58,538.16 : x
  2. Step 2: Convert to fraction form
    141,642/212,463.14 = 58,538.16/x
  3. Step 3: Cross multiply
    141,642x = 212,463.14 × 58,538.16
  4. Step 4: Simplify right side
    141,642x = 12,437,200,990.73
  5. Step 5: Solve for x
    x = 12,437,200,990.73/141,642
  6. Step 6: Final answer
    x = 87,807.30

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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.