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Finding the Fourth Proportional to 225,915.42, 338,816.25 and 92,832.42

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Solution

The fourth proportional to 225,915.42, 338,816.25 and 92,832.42 is: 139,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,915.42 : 338,816.25 = 92,832.42 : x
  2. Step 2: Convert to fraction form
    225,915.42/338,816.25 = 92,832.42/x
  3. Step 3: Cross multiply
    225,915.42x = 338,816.25 × 92,832.42
  4. Step 4: Simplify right side
    225,915.42x = 31,453,132,422.83
  5. Step 5: Solve for x
    x = 31,453,132,422.83/225,915.42
  6. Step 6: Final answer
    x = 139,225.26

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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.