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Finding the Fourth Proportional to 96,200.97, 144,301.46 and 26,078.46

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Solution

The fourth proportional to 96,200.97, 144,301.46 and 26,078.46 is: 39,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,200.97 : 144,301.46 = 26,078.46 : x
  2. Step 2: Convert to fraction form
    96,200.97/144,301.46 = 26,078.46/x
  3. Step 3: Cross multiply
    96,200.97x = 144,301.46 × 26,078.46
  4. Step 4: Simplify right side
    96,200.97x = 3,763,159,722.16
  5. Step 5: Solve for x
    x = 3,763,159,722.16/96,200.97
  6. Step 6: Final answer
    x = 39,117.69

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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.