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Finding the Fourth Proportional to 134,414.40, 185,481 and 77,829.36

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Solution

The fourth proportional to 134,414.40, 185,481 and 77,829.36 is: 107,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,414.40 : 185,481 = 77,829.36 : x
  2. Step 2: Convert to fraction form
    134,414.40/185,481 = 77,829.36/x
  3. Step 3: Cross multiply
    134,414.40x = 185,481 × 77,829.36
  4. Step 4: Simplify right side
    134,414.40x = 14,435,867,522.16
  5. Step 5: Solve for x
    x = 14,435,867,522.16/134,414.40
  6. Step 6: Final answer
    x = 107,398.22

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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.