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Finding the Fourth Proportional to 157,233.08, 216,978.54 and 85,613.96

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Solution

The fourth proportional to 157,233.08, 216,978.54 and 85,613.96 is: 118,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233.08 : 216,978.54 = 85,613.96 : x
  2. Step 2: Convert to fraction form
    157,233.08/216,978.54 = 85,613.96/x
  3. Step 3: Cross multiply
    157,233.08x = 216,978.54 × 85,613.96
  4. Step 4: Simplify right side
    157,233.08x = 18,576,392,044.42
  5. Step 5: Solve for x
    x = 18,576,392,044.42/157,233.08
  6. Step 6: Final answer
    x = 118,145.57

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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.