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Finding the Fourth Proportional to 282,855.84, 424,003.49 and 132,827.57

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Solution

The fourth proportional to 282,855.84, 424,003.49 and 132,827.57 is: 199,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,855.84 : 424,003.49 = 132,827.57 : x
  2. Step 2: Convert to fraction form
    282,855.84/424,003.49 = 132,827.57/x
  3. Step 3: Cross multiply
    282,855.84x = 424,003.49 × 132,827.57
  4. Step 4: Simplify right side
    282,855.84x = 56,319,351,128.20
  5. Step 5: Solve for x
    x = 56,319,351,128.20/282,855.84
  6. Step 6: Final answer
    x = 199,109.74

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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.