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Finding the Fourth Proportional to 157,277.70, 217,044.63 and 85,658.04

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Solution

The fourth proportional to 157,277.70, 217,044.63 and 85,658.04 is: 118,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,277.70 : 217,044.63 = 85,658.04 : x
  2. Step 2: Convert to fraction form
    157,277.70/217,044.63 = 85,658.04/x
  3. Step 3: Cross multiply
    157,277.70x = 217,044.63 × 85,658.04
  4. Step 4: Simplify right side
    157,277.70x = 18,591,617,598.33
  5. Step 5: Solve for x
    x = 18,591,617,598.33/157,277.70
  6. Step 6: Final answer
    x = 118,208.86

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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.