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Finding the Fourth Proportional to 210,593.76, 316,038.24 and 121,725

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Solution

The fourth proportional to 210,593.76, 316,038.24 and 121,725 is: 182,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,593.76 : 316,038.24 = 121,725 : x
  2. Step 2: Convert to fraction form
    210,593.76/316,038.24 = 121,725/x
  3. Step 3: Cross multiply
    210,593.76x = 316,038.24 × 121,725
  4. Step 4: Simplify right side
    210,593.76x = 38,469,754,764
  5. Step 5: Solve for x
    x = 38,469,754,764/210,593.76
  6. Step 6: Final answer
    x = 182,672.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.