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Finding the Fourth Proportional to 277,966.62, 417,027.69 and 109,382.94

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Solution

The fourth proportional to 277,966.62, 417,027.69 and 109,382.94 is: 164,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,966.62 : 417,027.69 = 109,382.94 : x
  2. Step 2: Convert to fraction form
    277,966.62/417,027.69 = 109,382.94/x
  3. Step 3: Cross multiply
    277,966.62x = 417,027.69 × 109,382.94
  4. Step 4: Simplify right side
    277,966.62x = 45,615,714,793.61
  5. Step 5: Solve for x
    x = 45,615,714,793.61/277,966.62
  6. Step 6: Final answer
    x = 164,105.01

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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.