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Finding the Fourth Proportional to 157,085.87, 216,778.41 and 85,465.80

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Solution

The fourth proportional to 157,085.87, 216,778.41 and 85,465.80 is: 117,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,085.87 : 216,778.41 = 85,465.80 : x
  2. Step 2: Convert to fraction form
    157,085.87/216,778.41 = 85,465.80/x
  3. Step 3: Cross multiply
    157,085.87x = 216,778.41 × 85,465.80
  4. Step 4: Simplify right side
    157,085.87x = 18,527,140,233.38
  5. Step 5: Solve for x
    x = 18,527,140,233.38/157,085.87
  6. Step 6: Final answer
    x = 117,942.76

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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.