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Finding the Fourth Proportional to 225,654.96, 338,394.96 and 120,416.52

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Solution

The fourth proportional to 225,654.96, 338,394.96 and 120,416.52 is: 180,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,654.96 : 338,394.96 = 120,416.52 : x
  2. Step 2: Convert to fraction form
    225,654.96/338,394.96 = 120,416.52/x
  3. Step 3: Cross multiply
    225,654.96x = 338,394.96 × 120,416.52
  4. Step 4: Simplify right side
    225,654.96x = 40,748,343,468.74
  5. Step 5: Solve for x
    x = 40,748,343,468.74/225,654.96
  6. Step 6: Final answer
    x = 180,578.10

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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.