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Finding the Fourth Proportional to 123,422.24, 185,142 and 61,076

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Solution

The fourth proportional to 123,422.24, 185,142 and 61,076 is: 91,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,422.24 : 185,142 = 61,076 : x
  2. Step 2: Convert to fraction form
    123,422.24/185,142 = 61,076/x
  3. Step 3: Cross multiply
    123,422.24x = 185,142 × 61,076
  4. Step 4: Simplify right side
    123,422.24x = 11,307,732,792
  5. Step 5: Solve for x
    x = 11,307,732,792/123,422.24
  6. Step 6: Final answer
    x = 91,618.28

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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.