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Finding the Fourth Proportional to 157,501.86, 217,357.05 and 85,885.82

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Solution

The fourth proportional to 157,501.86, 217,357.05 and 85,885.82 is: 118,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,501.86 : 217,357.05 = 85,885.82 : x
  2. Step 2: Convert to fraction form
    157,501.86/217,357.05 = 85,885.82/x
  3. Step 3: Cross multiply
    157,501.86x = 217,357.05 × 85,885.82
  4. Step 4: Simplify right side
    157,501.86x = 18,667,887,385.25
  5. Step 5: Solve for x
    x = 18,667,887,385.25/157,501.86
  6. Step 6: Final answer
    x = 118,524.87

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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.