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Finding the Fourth Proportional to 157,462.38, 217,298.16 and 85,840.92

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Solution

The fourth proportional to 157,462.38, 217,298.16 and 85,840.92 is: 118,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,462.38 : 217,298.16 = 85,840.92 : x
  2. Step 2: Convert to fraction form
    157,462.38/217,298.16 = 85,840.92/x
  3. Step 3: Cross multiply
    157,462.38x = 217,298.16 × 85,840.92
  4. Step 4: Simplify right side
    157,462.38x = 18,653,073,968.71
  5. Step 5: Solve for x
    x = 18,653,073,968.71/157,462.38
  6. Step 6: Final answer
    x = 118,460.51

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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.