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Finding the Fourth Proportional to 282,098.43, 389,193.66 and 185,354.33

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Solution

The fourth proportional to 282,098.43, 389,193.66 and 185,354.33 is: 255,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,098.43 : 389,193.66 = 185,354.33 : x
  2. Step 2: Convert to fraction form
    282,098.43/389,193.66 = 185,354.33/x
  3. Step 3: Cross multiply
    282,098.43x = 389,193.66 × 185,354.33
  4. Step 4: Simplify right side
    282,098.43x = 72,138,728,143.58
  5. Step 5: Solve for x
    x = 72,138,728,143.58/282,098.43
  6. Step 6: Final answer
    x = 255,721.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.