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Finding the Fourth Proportional to 225,564.82, 338,355.42 and 75,810.10

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Solution

The fourth proportional to 225,564.82, 338,355.42 and 75,810.10 is: 113,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,564.82 : 338,355.42 = 75,810.10 : x
  2. Step 2: Convert to fraction form
    225,564.82/338,355.42 = 75,810.10/x
  3. Step 3: Cross multiply
    225,564.82x = 338,355.42 × 75,810.10
  4. Step 4: Simplify right side
    225,564.82x = 25,650,758,225.74
  5. Step 5: Solve for x
    x = 25,650,758,225.74/225,564.82
  6. Step 6: Final answer
    x = 113,717.90

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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.