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Finding the Fourth Proportional to 277,101.68, 414,992.72 and 176,951.66

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Solution

The fourth proportional to 277,101.68, 414,992.72 and 176,951.66 is: 265,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,101.68 : 414,992.72 = 176,951.66 : x
  2. Step 2: Convert to fraction form
    277,101.68/414,992.72 = 176,951.66/x
  3. Step 3: Cross multiply
    277,101.68x = 414,992.72 × 176,951.66
  4. Step 4: Simplify right side
    277,101.68x = 73,433,650,691.92
  5. Step 5: Solve for x
    x = 73,433,650,691.92/277,101.68
  6. Step 6: Final answer
    x = 265,006.15

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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.