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Finding the Fourth Proportional to 277,541.88, 416,237.22 and 77,849.88

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Solution

The fourth proportional to 277,541.88, 416,237.22 and 77,849.88 is: 116,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,541.88 : 416,237.22 = 77,849.88 : x
  2. Step 2: Convert to fraction form
    277,541.88/416,237.22 = 77,849.88/x
  3. Step 3: Cross multiply
    277,541.88x = 416,237.22 × 77,849.88
  4. Step 4: Simplify right side
    277,541.88x = 32,404,017,628.53
  5. Step 5: Solve for x
    x = 32,404,017,628.53/277,541.88
  6. Step 6: Final answer
    x = 116,753.61

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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.