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Finding the Fourth Proportional to 225,478.14, 338,388.57 and 83,457.78

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Solution

The fourth proportional to 225,478.14, 338,388.57 and 83,457.78 is: 125,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,478.14 : 338,388.57 = 83,457.78 : x
  2. Step 2: Convert to fraction form
    225,478.14/338,388.57 = 83,457.78/x
  3. Step 3: Cross multiply
    225,478.14x = 338,388.57 × 83,457.78
  4. Step 4: Simplify right side
    225,478.14x = 28,241,158,829.57
  5. Step 5: Solve for x
    x = 28,241,158,829.57/225,478.14
  6. Step 6: Final answer
    x = 125,250.10

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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.