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Finding the Fourth Proportional to 157,311.56, 217,085.14 and 85,690.44

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Solution

The fourth proportional to 157,311.56, 217,085.14 and 85,690.44 is: 118,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,311.56 : 217,085.14 = 85,690.44 : x
  2. Step 2: Convert to fraction form
    157,311.56/217,085.14 = 85,690.44/x
  3. Step 3: Cross multiply
    157,311.56x = 217,085.14 × 85,690.44
  4. Step 4: Simplify right side
    157,311.56x = 18,602,121,164.06
  5. Step 5: Solve for x
    x = 18,602,121,164.06/157,311.56
  6. Step 6: Final answer
    x = 118,250.19

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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.