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Finding the Fourth Proportional to 295,712.76, 443,744.82 and 108,855.48

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Solution

The fourth proportional to 295,712.76, 443,744.82 and 108,855.48 is: 163,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,712.76 : 443,744.82 = 108,855.48 : x
  2. Step 2: Convert to fraction form
    295,712.76/443,744.82 = 108,855.48/x
  3. Step 3: Cross multiply
    295,712.76x = 443,744.82 × 108,855.48
  4. Step 4: Simplify right side
    295,712.76x = 48,304,055,378.61
  5. Step 5: Solve for x
    x = 48,304,055,378.61/295,712.76
  6. Step 6: Final answer
    x = 163,347.89

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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.