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Finding the Fourth Proportional to 114,902.70, 172,354.05 and 85,378.20

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Solution

The fourth proportional to 114,902.70, 172,354.05 and 85,378.20 is: 128,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,902.70 : 172,354.05 = 85,378.20 : x
  2. Step 2: Convert to fraction form
    114,902.70/172,354.05 = 85,378.20/x
  3. Step 3: Cross multiply
    114,902.70x = 172,354.05 × 85,378.20
  4. Step 4: Simplify right side
    114,902.70x = 14,715,278,551.71
  5. Step 5: Solve for x
    x = 14,715,278,551.71/114,902.70
  6. Step 6: Final answer
    x = 128,067.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.