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Finding the Fourth Proportional to 145,832.76, 218,603.79 and 61,614.14

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Solution

The fourth proportional to 145,832.76, 218,603.79 and 61,614.14 is: 92,359.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,832.76 : 218,603.79 = 61,614.14 : x
  2. Step 2: Convert to fraction form
    145,832.76/218,603.79 = 61,614.14/x
  3. Step 3: Cross multiply
    145,832.76x = 218,603.79 × 61,614.14
  4. Step 4: Simplify right side
    145,832.76x = 13,469,083,428.57
  5. Step 5: Solve for x
    x = 13,469,083,428.57/145,832.76
  6. Step 6: Final answer
    x = 92,359.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.