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Finding the Fourth Proportional to 282,990.52, 424,339.68 and 83,284.96

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Solution

The fourth proportional to 282,990.52, 424,339.68 and 83,284.96 is: 124,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,990.52 : 424,339.68 = 83,284.96 : x
  2. Step 2: Convert to fraction form
    282,990.52/424,339.68 = 83,284.96/x
  3. Step 3: Cross multiply
    282,990.52x = 424,339.68 × 83,284.96
  4. Step 4: Simplify right side
    282,990.52x = 35,341,113,275.21
  5. Step 5: Solve for x
    x = 35,341,113,275.21/282,990.52
  6. Step 6: Final answer
    x = 124,884.44

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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.