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Finding the Fourth Proportional to 277,343.43, 416,077.36 and 87,815.14

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Solution

The fourth proportional to 277,343.43, 416,077.36 and 87,815.14 is: 131,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,343.43 : 416,077.36 = 87,815.14 : x
  2. Step 2: Convert to fraction form
    277,343.43/416,077.36 = 87,815.14/x
  3. Step 3: Cross multiply
    277,343.43x = 416,077.36 × 87,815.14
  4. Step 4: Simplify right side
    277,343.43x = 36,537,890,359.50
  5. Step 5: Solve for x
    x = 36,537,890,359.50/277,343.43
  6. Step 6: Final answer
    x = 131,742.41

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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.