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Finding the Fourth Proportional to 277,346.38, 416,081.94 and 87,818.08

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Solution

The fourth proportional to 277,346.38, 416,081.94 and 87,818.08 is: 131,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,346.38 : 416,081.94 = 87,818.08 : x
  2. Step 2: Convert to fraction form
    277,346.38/416,081.94 = 87,818.08/x
  3. Step 3: Cross multiply
    277,346.38x = 416,081.94 × 87,818.08
  4. Step 4: Simplify right side
    277,346.38x = 36,539,517,093.48
  5. Step 5: Solve for x
    x = 36,539,517,093.48/277,346.38
  6. Step 6: Final answer
    x = 131,746.87

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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.