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Finding the Fourth Proportional to 283,514.02, 424,978.95 and 125,816.74

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Solution

The fourth proportional to 283,514.02, 424,978.95 and 125,816.74 is: 188,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,514.02 : 424,978.95 = 125,816.74 : x
  2. Step 2: Convert to fraction form
    283,514.02/424,978.95 = 125,816.74/x
  3. Step 3: Cross multiply
    283,514.02x = 424,978.95 × 125,816.74
  4. Step 4: Simplify right side
    283,514.02x = 53,469,466,057.62
  5. Step 5: Solve for x
    x = 53,469,466,057.62/283,514.02
  6. Step 6: Final answer
    x = 188,595.49

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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.