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Finding the Fourth Proportional to 157,383.57, 217,189.33 and 85,763.57

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Solution

The fourth proportional to 157,383.57, 217,189.33 and 85,763.57 is: 118,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,383.57 : 217,189.33 = 85,763.57 : x
  2. Step 2: Convert to fraction form
    157,383.57/217,189.33 = 85,763.57/x
  3. Step 3: Cross multiply
    157,383.57x = 217,189.33 × 85,763.57
  4. Step 4: Simplify right side
    157,383.57x = 18,626,932,306.71
  5. Step 5: Solve for x
    x = 18,626,932,306.71/157,383.57
  6. Step 6: Final answer
    x = 118,353.73

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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.