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Finding the Fourth Proportional to 282,853.59, 424,000.12 and 132,825.31

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Solution

The fourth proportional to 282,853.59, 424,000.12 and 132,825.31 is: 199,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,853.59 : 424,000.12 = 132,825.31 : x
  2. Step 2: Convert to fraction form
    282,853.59/424,000.12 = 132,825.31/x
  3. Step 3: Cross multiply
    282,853.59x = 424,000.12 × 132,825.31
  4. Step 4: Simplify right side
    282,853.59x = 56,317,946,714.91
  5. Step 5: Solve for x
    x = 56,317,946,714.91/282,853.59
  6. Step 6: Final answer
    x = 199,106.36

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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.