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Finding the Fourth Proportional to 123,431.92, 185,154.79 and 34,678.50

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Solution

The fourth proportional to 123,431.92, 185,154.79 and 34,678.50 is: 52,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,431.92 : 185,154.79 = 34,678.50 : x
  2. Step 2: Convert to fraction form
    123,431.92/185,154.79 = 34,678.50/x
  3. Step 3: Cross multiply
    123,431.92x = 185,154.79 × 34,678.50
  4. Step 4: Simplify right side
    123,431.92x = 6,420,890,428.36
  5. Step 5: Solve for x
    x = 6,420,890,428.36/123,431.92
  6. Step 6: Final answer
    x = 52,019.69

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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.