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Finding the Fourth Proportional to 277,094.60, 382,382.85 and 156,234.86

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Solution

The fourth proportional to 277,094.60, 382,382.85 and 156,234.86 is: 215,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,094.60 : 382,382.85 = 156,234.86 : x
  2. Step 2: Convert to fraction form
    277,094.60/382,382.85 = 156,234.86/x
  3. Step 3: Cross multiply
    277,094.60x = 382,382.85 × 156,234.86
  4. Step 4: Simplify right side
    277,094.60x = 59,741,531,036.15
  5. Step 5: Solve for x
    x = 59,741,531,036.15/277,094.60
  6. Step 6: Final answer
    x = 215,599.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.