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Finding the Fourth Proportional to 114,305.78, 157,819.04 and 71,350.70

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Solution

The fourth proportional to 114,305.78, 157,819.04 and 71,350.70 is: 98,512.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,305.78 : 157,819.04 = 71,350.70 : x
  2. Step 2: Convert to fraction form
    114,305.78/157,819.04 = 71,350.70/x
  3. Step 3: Cross multiply
    114,305.78x = 157,819.04 × 71,350.70
  4. Step 4: Simplify right side
    114,305.78x = 11,260,498,977.33
  5. Step 5: Solve for x
    x = 11,260,498,977.33/114,305.78
  6. Step 6: Final answer
    x = 98,512.07

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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.