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Finding the Fourth Proportional to 283,209.66, 424,887.39 and 83,521.98

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Solution

The fourth proportional to 283,209.66, 424,887.39 and 83,521.98 is: 125,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,209.66 : 424,887.39 = 83,521.98 : x
  2. Step 2: Convert to fraction form
    283,209.66/424,887.39 = 83,521.98/x
  3. Step 3: Cross multiply
    283,209.66x = 424,887.39 × 83,521.98
  4. Step 4: Simplify right side
    283,209.66x = 35,487,436,089.83
  5. Step 5: Solve for x
    x = 35,487,436,089.83/283,209.66
  6. Step 6: Final answer
    x = 125,304.47

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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.