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Finding the Fourth Proportional to 283,108.80, 424,663.20 and 194,635.20

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Solution

The fourth proportional to 283,108.80, 424,663.20 and 194,635.20 is: 291,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,108.80 : 424,663.20 = 194,635.20 : x
  2. Step 2: Convert to fraction form
    283,108.80/424,663.20 = 194,635.20/x
  3. Step 3: Cross multiply
    283,108.80x = 424,663.20 × 194,635.20
  4. Step 4: Simplify right side
    283,108.80x = 82,654,406,864.64
  5. Step 5: Solve for x
    x = 82,654,406,864.64/283,108.80
  6. Step 6: Final answer
    x = 291,952.80

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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.