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Finding the Fourth Proportional to 224,878.72, 337,629.12 and 114,148.48

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Solution

The fourth proportional to 224,878.72, 337,629.12 and 114,148.48 is: 171,380.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,878.72 : 337,629.12 = 114,148.48 : x
  2. Step 2: Convert to fraction form
    224,878.72/337,629.12 = 114,148.48/x
  3. Step 3: Cross multiply
    224,878.72x = 337,629.12 × 114,148.48
  4. Step 4: Simplify right side
    224,878.72x = 38,539,850,851.74
  5. Step 5: Solve for x
    x = 38,539,850,851.74/224,878.72
  6. Step 6: Final answer
    x = 171,380.60

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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.