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Finding the Fourth Proportional to 157,405.62, 217,219.92 and 85,785.70

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Solution

The fourth proportional to 157,405.62, 217,219.92 and 85,785.70 is: 118,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,405.62 : 217,219.92 = 85,785.70 : x
  2. Step 2: Convert to fraction form
    157,405.62/217,219.92 = 85,785.70/x
  3. Step 3: Cross multiply
    157,405.62x = 217,219.92 × 85,785.70
  4. Step 4: Simplify right side
    157,405.62x = 18,634,362,891.14
  5. Step 5: Solve for x
    x = 18,634,362,891.14/157,405.62
  6. Step 6: Final answer
    x = 118,384.36

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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.