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Finding the Fourth Proportional to 229,387.83, 344,081.75 and 71,629.80

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Solution

The fourth proportional to 229,387.83, 344,081.75 and 71,629.80 is: 107,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,387.83 : 344,081.75 = 71,629.80 : x
  2. Step 2: Convert to fraction form
    229,387.83/344,081.75 = 71,629.80/x
  3. Step 3: Cross multiply
    229,387.83x = 344,081.75 × 71,629.80
  4. Step 4: Simplify right side
    229,387.83x = 24,646,506,578.00
  5. Step 5: Solve for x
    x = 24,646,506,578.00/229,387.83
  6. Step 6: Final answer
    x = 107,444.70

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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.