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Finding the Fourth Proportional to 138,854.46, 191,548.62 and 81,456.24

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Solution

The fourth proportional to 138,854.46, 191,548.62 and 81,456.24 is: 112,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854.46 : 191,548.62 = 81,456.24 : x
  2. Step 2: Convert to fraction form
    138,854.46/191,548.62 = 81,456.24/x
  3. Step 3: Cross multiply
    138,854.46x = 191,548.62 × 81,456.24
  4. Step 4: Simplify right side
    138,854.46x = 15,602,830,362.39
  5. Step 5: Solve for x
    x = 15,602,830,362.39/138,854.46
  6. Step 6: Final answer
    x = 112,368.23

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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.