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Finding the Fourth Proportional to 144,088.62, 215,843.00 and 71,823.44

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Solution

The fourth proportional to 144,088.62, 215,843.00 and 71,823.44 is: 107,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,088.62 : 215,843.00 = 71,823.44 : x
  2. Step 2: Convert to fraction form
    144,088.62/215,843.00 = 71,823.44/x
  3. Step 3: Cross multiply
    144,088.62x = 215,843.00 × 71,823.44
  4. Step 4: Simplify right side
    144,088.62x = 15,502,585,321.59
  5. Step 5: Solve for x
    x = 15,502,585,321.59/144,088.62
  6. Step 6: Final answer
    x = 107,590.63

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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.