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Finding the Fourth Proportional to 283,110.80, 424,666.20 and 194,637.20

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Solution

The fourth proportional to 283,110.80, 424,666.20 and 194,637.20 is: 291,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,110.80 : 424,666.20 = 194,637.20 : x
  2. Step 2: Convert to fraction form
    283,110.80/424,666.20 = 194,637.20/x
  3. Step 3: Cross multiply
    283,110.80x = 424,666.20 × 194,637.20
  4. Step 4: Simplify right side
    283,110.80x = 82,655,840,102.64
  5. Step 5: Solve for x
    x = 82,655,840,102.64/283,110.80
  6. Step 6: Final answer
    x = 291,955.80

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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.