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Finding the Fourth Proportional to 277,370.67, 416,057.22 and 87,832.02

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Solution

The fourth proportional to 277,370.67, 416,057.22 and 87,832.02 is: 131,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,370.67 : 416,057.22 = 87,832.02 : x
  2. Step 2: Convert to fraction form
    277,370.67/416,057.22 = 87,832.02/x
  3. Step 3: Cross multiply
    277,370.67x = 416,057.22 × 87,832.02
  4. Step 4: Simplify right side
    277,370.67x = 36,543,146,068.18
  5. Step 5: Solve for x
    x = 36,543,146,068.18/277,370.67
  6. Step 6: Final answer
    x = 131,748.41

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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.