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Finding the Fourth Proportional to 157,314.90, 217,094.20 and 85,694.75

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Solution

The fourth proportional to 157,314.90, 217,094.20 and 85,694.75 is: 118,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,314.90 : 217,094.20 = 85,694.75 : x
  2. Step 2: Convert to fraction form
    157,314.90/217,094.20 = 85,694.75/x
  3. Step 3: Cross multiply
    157,314.90x = 217,094.20 × 85,694.75
  4. Step 4: Simplify right side
    157,314.90x = 18,603,833,195.45
  5. Step 5: Solve for x
    x = 18,603,833,195.45/157,314.90
  6. Step 6: Final answer
    x = 118,258.56

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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.