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Finding the Fourth Proportional to 135,472.59, 186,953.67 and 75,044.16

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Solution

The fourth proportional to 135,472.59, 186,953.67 and 75,044.16 is: 103,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,472.59 : 186,953.67 = 75,044.16 : x
  2. Step 2: Convert to fraction form
    135,472.59/186,953.67 = 75,044.16/x
  3. Step 3: Cross multiply
    135,472.59x = 186,953.67 × 75,044.16
  4. Step 4: Simplify right side
    135,472.59x = 14,029,781,124.07
  5. Step 5: Solve for x
    x = 14,029,781,124.07/135,472.59
  6. Step 6: Final answer
    x = 103,561.77

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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.