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Finding the Fourth Proportional to 157,462.52, 217,300.52 and 85,842.45

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Solution

The fourth proportional to 157,462.52, 217,300.52 and 85,842.45 is: 118,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,462.52 : 217,300.52 = 85,842.45 : x
  2. Step 2: Convert to fraction form
    157,462.52/217,300.52 = 85,842.45/x
  3. Step 3: Cross multiply
    157,462.52x = 217,300.52 × 85,842.45
  4. Step 4: Simplify right side
    157,462.52x = 18,653,609,237.68
  5. Step 5: Solve for x
    x = 18,653,609,237.68/157,462.52
  6. Step 6: Final answer
    x = 118,463.81

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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.