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Finding the Fourth Proportional to 238,123.40, 357,198.78 and 86,353.52

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Solution

The fourth proportional to 238,123.40, 357,198.78 and 86,353.52 is: 129,535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,123.40 : 357,198.78 = 86,353.52 : x
  2. Step 2: Convert to fraction form
    238,123.40/357,198.78 = 86,353.52/x
  3. Step 3: Cross multiply
    238,123.40x = 357,198.78 × 86,353.52
  4. Step 4: Simplify right side
    238,123.40x = 30,845,371,992.71
  5. Step 5: Solve for x
    x = 30,845,371,992.71/238,123.40
  6. Step 6: Final answer
    x = 129,535.24

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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.