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Finding the Fourth Proportional to 157,500.40, 217,342.56 and 85,879.84

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Solution

The fourth proportional to 157,500.40, 217,342.56 and 85,879.84 is: 118,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,500.40 : 217,342.56 = 85,879.84 : x
  2. Step 2: Convert to fraction form
    157,500.40/217,342.56 = 85,879.84/x
  3. Step 3: Cross multiply
    157,500.40x = 217,342.56 × 85,879.84
  4. Step 4: Simplify right side
    157,500.40x = 18,665,344,277.99
  5. Step 5: Solve for x
    x = 18,665,344,277.99/157,500.40
  6. Step 6: Final answer
    x = 118,509.82

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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.