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Finding the Fourth Proportional to 96,209.93, 144,314.88 and 29,650.06

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Solution

The fourth proportional to 96,209.93, 144,314.88 and 29,650.06 is: 44,475.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,209.93 : 144,314.88 = 29,650.06 : x
  2. Step 2: Convert to fraction form
    96,209.93/144,314.88 = 29,650.06/x
  3. Step 3: Cross multiply
    96,209.93x = 144,314.88 × 29,650.06
  4. Step 4: Simplify right side
    96,209.93x = 4,278,944,850.89
  5. Step 5: Solve for x
    x = 4,278,944,850.89/96,209.93
  6. Step 6: Final answer
    x = 44,475.09

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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.