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Finding the Fourth Proportional to 282,714.85, 423,463.30 and 132,730.39

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Solution

The fourth proportional to 282,714.85, 423,463.30 and 132,730.39 is: 198,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,714.85 : 423,463.30 = 132,730.39 : x
  2. Step 2: Convert to fraction form
    282,714.85/423,463.30 = 132,730.39/x
  3. Step 3: Cross multiply
    282,714.85x = 423,463.30 × 132,730.39
  4. Step 4: Simplify right side
    282,714.85x = 56,206,448,959.69
  5. Step 5: Solve for x
    x = 56,206,448,959.69/282,714.85
  6. Step 6: Final answer
    x = 198,809.68

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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.