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Finding the Fourth Proportional to 157,352.55, 217,149 and 85,732.54

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Solution

The fourth proportional to 157,352.55, 217,149 and 85,732.54 is: 118,312.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,352.55 : 217,149 = 85,732.54 : x
  2. Step 2: Convert to fraction form
    157,352.55/217,149 = 85,732.54/x
  3. Step 3: Cross multiply
    157,352.55x = 217,149 × 85,732.54
  4. Step 4: Simplify right side
    157,352.55x = 18,616,735,328.46
  5. Step 5: Solve for x
    x = 18,616,735,328.46/157,352.55
  6. Step 6: Final answer
    x = 118,312.26

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1.5x scale

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.