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Finding the Fourth Proportional to 135,414.54, 186,871.59 and 75,798.54

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Solution

The fourth proportional to 135,414.54, 186,871.59 and 75,798.54 is: 104,601.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,414.54 : 186,871.59 = 75,798.54 : x
  2. Step 2: Convert to fraction form
    135,414.54/186,871.59 = 75,798.54/x
  3. Step 3: Cross multiply
    135,414.54x = 186,871.59 × 75,798.54
  4. Step 4: Simplify right side
    135,414.54x = 14,164,593,689.48
  5. Step 5: Solve for x
    x = 14,164,593,689.48/135,414.54
  6. Step 6: Final answer
    x = 104,601.72

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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.