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Finding the Fourth Proportional to 140,843.84, 211,123.52 and 88,290.16

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Solution

The fourth proportional to 140,843.84, 211,123.52 and 88,290.16 is: 132,346.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,843.84 : 211,123.52 = 88,290.16 : x
  2. Step 2: Convert to fraction form
    140,843.84/211,123.52 = 88,290.16/x
  3. Step 3: Cross multiply
    140,843.84x = 211,123.52 × 88,290.16
  4. Step 4: Simplify right side
    140,843.84x = 18,640,129,360.56
  5. Step 5: Solve for x
    x = 18,640,129,360.56/140,843.84
  6. Step 6: Final answer
    x = 132,346.07

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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.