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Finding the Fourth Proportional to 144,235.82, 199,046.88 and 80,566.16

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Solution

The fourth proportional to 144,235.82, 199,046.88 and 80,566.16 is: 111,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,235.82 : 199,046.88 = 80,566.16 : x
  2. Step 2: Convert to fraction form
    144,235.82/199,046.88 = 80,566.16/x
  3. Step 3: Cross multiply
    144,235.82x = 199,046.88 × 80,566.16
  4. Step 4: Simplify right side
    144,235.82x = 16,036,442,781.58
  5. Step 5: Solve for x
    x = 16,036,442,781.58/144,235.82
  6. Step 6: Final answer
    x = 111,182.11

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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.