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Finding the Fourth Proportional to 157,453.92, 217,278.36 and 85,826.88

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Solution

The fourth proportional to 157,453.92, 217,278.36 and 85,826.88 is: 118,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,453.92 : 217,278.36 = 85,826.88 : x
  2. Step 2: Convert to fraction form
    157,453.92/217,278.36 = 85,826.88/x
  3. Step 3: Cross multiply
    157,453.92x = 217,278.36 × 85,826.88
  4. Step 4: Simplify right side
    157,453.92x = 18,648,323,730.32
  5. Step 5: Solve for x
    x = 18,648,323,730.32/157,453.92
  6. Step 6: Final answer
    x = 118,436.71

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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.