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Finding the Fourth Proportional to 89,809.40, 134,714.10 and 82,551.80

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Solution

The fourth proportional to 89,809.40, 134,714.10 and 82,551.80 is: 123,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,809.40 : 134,714.10 = 82,551.80 : x
  2. Step 2: Convert to fraction form
    89,809.40/134,714.10 = 82,551.80/x
  3. Step 3: Cross multiply
    89,809.40x = 134,714.10 × 82,551.80
  4. Step 4: Simplify right side
    89,809.40x = 11,120,891,440.38
  5. Step 5: Solve for x
    x = 11,120,891,440.38/89,809.40
  6. Step 6: Final answer
    x = 123,827.70

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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.