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Finding the Fourth Proportional to 107,655.71, 148,733.42 and 82,251

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Solution

The fourth proportional to 107,655.71, 148,733.42 and 82,251 is: 113,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655.71 : 148,733.42 = 82,251 : x
  2. Step 2: Convert to fraction form
    107,655.71/148,733.42 = 82,251/x
  3. Step 3: Cross multiply
    107,655.71x = 148,733.42 × 82,251
  4. Step 4: Simplify right side
    107,655.71x = 12,233,472,117.17
  5. Step 5: Solve for x
    x = 12,233,472,117.17/107,655.71
  6. Step 6: Final answer
    x = 113,635.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.