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Finding the Fourth Proportional to 102,891.96, 155,109.11 and 96,033.66

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Solution

The fourth proportional to 102,891.96, 155,109.11 and 96,033.66 is: 144,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,891.96 : 155,109.11 = 96,033.66 : x
  2. Step 2: Convert to fraction form
    102,891.96/155,109.11 = 96,033.66/x
  3. Step 3: Cross multiply
    102,891.96x = 155,109.11 × 96,033.66
  4. Step 4: Simplify right side
    102,891.96x = 14,895,695,052.47
  5. Step 5: Solve for x
    x = 14,895,695,052.47/102,891.96
  6. Step 6: Final answer
    x = 144,770.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.