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Finding the Fourth Proportional to 138,669.68, 191,364.20 and 78,253.16

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Solution

The fourth proportional to 138,669.68, 191,364.20 and 78,253.16 is: 107,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,669.68 : 191,364.20 = 78,253.16 : x
  2. Step 2: Convert to fraction form
    138,669.68/191,364.20 = 78,253.16/x
  3. Step 3: Cross multiply
    138,669.68x = 191,364.20 × 78,253.16
  4. Step 4: Simplify right side
    138,669.68x = 14,974,853,360.87
  5. Step 5: Solve for x
    x = 14,974,853,360.87/138,669.68
  6. Step 6: Final answer
    x = 107,989.38

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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.