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Finding the Fourth Proportional to 277,695.78, 416,691.72 and 117,796.02

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Solution

The fourth proportional to 277,695.78, 416,691.72 and 117,796.02 is: 176,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,695.78 : 416,691.72 = 117,796.02 : x
  2. Step 2: Convert to fraction form
    277,695.78/416,691.72 = 117,796.02/x
  3. Step 3: Cross multiply
    277,695.78x = 416,691.72 × 117,796.02
  4. Step 4: Simplify right side
    277,695.78x = 49,084,626,182.95
  5. Step 5: Solve for x
    x = 49,084,626,182.95/277,695.78
  6. Step 6: Final answer
    x = 176,756.83

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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.