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Finding the Fourth Proportional to 157,278.36, 217,046.72 and 85,659.78

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Solution

The fourth proportional to 157,278.36, 217,046.72 and 85,659.78 is: 118,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,278.36 : 217,046.72 = 85,659.78 : x
  2. Step 2: Convert to fraction form
    157,278.36/217,046.72 = 85,659.78/x
  3. Step 3: Cross multiply
    157,278.36x = 217,046.72 × 85,659.78
  4. Step 4: Simplify right side
    157,278.36x = 18,592,174,284.92
  5. Step 5: Solve for x
    x = 18,592,174,284.92/157,278.36
  6. Step 6: Final answer
    x = 118,211.90

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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.