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Finding the Fourth Proportional to 103,141.50, 142,335.27 and 58,429.50

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Solution

The fourth proportional to 103,141.50, 142,335.27 and 58,429.50 is: 80,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,141.50 : 142,335.27 = 58,429.50 : x
  2. Step 2: Convert to fraction form
    103,141.50/142,335.27 = 58,429.50/x
  3. Step 3: Cross multiply
    103,141.50x = 142,335.27 × 58,429.50
  4. Step 4: Simplify right side
    103,141.50x = 8,316,578,658.47
  5. Step 5: Solve for x
    x = 8,316,578,658.47/103,141.50
  6. Step 6: Final answer
    x = 80,632.71

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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.