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Finding the Fourth Proportional to 225,377.53, 338,237.66 and 83,357.16

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Solution

The fourth proportional to 225,377.53, 338,237.66 and 83,357.16 is: 125,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,377.53 : 338,237.66 = 83,357.16 : x
  2. Step 2: Convert to fraction form
    225,377.53/338,237.66 = 83,357.16/x
  3. Step 3: Cross multiply
    225,377.53x = 338,237.66 × 83,357.16
  4. Step 4: Simplify right side
    225,377.53x = 28,194,531,943.66
  5. Step 5: Solve for x
    x = 28,194,531,943.66/225,377.53
  6. Step 6: Final answer
    x = 125,099.13

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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.