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Finding the Fourth Proportional to 276,689.10, 415,033.65 and 156,622.80

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Solution

The fourth proportional to 276,689.10, 415,033.65 and 156,622.80 is: 234,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,689.10 : 415,033.65 = 156,622.80 : x
  2. Step 2: Convert to fraction form
    276,689.10/415,033.65 = 156,622.80/x
  3. Step 3: Cross multiply
    276,689.10x = 415,033.65 × 156,622.80
  4. Step 4: Simplify right side
    276,689.10x = 65,003,732,357.22
  5. Step 5: Solve for x
    x = 65,003,732,357.22/276,689.10
  6. Step 6: Final answer
    x = 234,934.20

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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.