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Finding the Fourth Proportional to 277,776.31, 416,689.07 and 78,098.43

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Solution

The fourth proportional to 277,776.31, 416,689.07 and 78,098.43 is: 117,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,776.31 : 416,689.07 = 78,098.43 : x
  2. Step 2: Convert to fraction form
    277,776.31/416,689.07 = 78,098.43/x
  3. Step 3: Cross multiply
    277,776.31x = 416,689.07 × 78,098.43
  4. Step 4: Simplify right side
    277,776.31x = 32,542,762,165.16
  5. Step 5: Solve for x
    x = 32,542,762,165.16/277,776.31
  6. Step 6: Final answer
    x = 117,154.56

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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.