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Finding the Fourth Proportional to 157,472.71, 217,178.64 and 133,063.11

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Solution

The fourth proportional to 157,472.71, 217,178.64 and 133,063.11 is: 183,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,472.71 : 217,178.64 = 133,063.11 : x
  2. Step 2: Convert to fraction form
    157,472.71/217,178.64 = 133,063.11/x
  3. Step 3: Cross multiply
    157,472.71x = 217,178.64 × 133,063.11
  4. Step 4: Simplify right side
    157,472.71x = 28,898,465,263.97
  5. Step 5: Solve for x
    x = 28,898,465,263.97/157,472.71
  6. Step 6: Final answer
    x = 183,514.12

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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.