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Finding the Fourth Proportional to 277,785, 416,748.06 and 80,793

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Solution

The fourth proportional to 277,785, 416,748.06 and 80,793 is: 121,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,785 : 416,748.06 = 80,793 : x
  2. Step 2: Convert to fraction form
    277,785/416,748.06 = 80,793/x
  3. Step 3: Cross multiply
    277,785x = 416,748.06 × 80,793
  4. Step 4: Simplify right side
    277,785x = 33,670,326,011.58
  5. Step 5: Solve for x
    x = 33,670,326,011.58/277,785
  6. Step 6: Final answer
    x = 121,210.02

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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.