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Finding the Fourth Proportional to 157,184.57, 216,914.73 and 85,565.14

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Solution

The fourth proportional to 157,184.57, 216,914.73 and 85,565.14 is: 118,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,184.57 : 216,914.73 = 85,565.14 : x
  2. Step 2: Convert to fraction form
    157,184.57/216,914.73 = 85,565.14/x
  3. Step 3: Cross multiply
    157,184.57x = 216,914.73 × 85,565.14
  4. Step 4: Simplify right side
    157,184.57x = 18,560,338,155.94
  5. Step 5: Solve for x
    x = 18,560,338,155.94/157,184.57
  6. Step 6: Final answer
    x = 118,079.90

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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.