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Finding the Fourth Proportional to 138,534.36, 191,177.12 and 74,872

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Solution

The fourth proportional to 138,534.36, 191,177.12 and 74,872 is: 103,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534.36 : 191,177.12 = 74,872 : x
  2. Step 2: Convert to fraction form
    138,534.36/191,177.12 = 74,872/x
  3. Step 3: Cross multiply
    138,534.36x = 191,177.12 × 74,872
  4. Step 4: Simplify right side
    138,534.36x = 14,313,813,328.64
  5. Step 5: Solve for x
    x = 14,313,813,328.64/138,534.36
  6. Step 6: Final answer
    x = 103,323.20

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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.