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Finding the Fourth Proportional to 277,373.28, 416,122.32 and 87,845.16

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Solution

The fourth proportional to 277,373.28, 416,122.32 and 87,845.16 is: 131,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,373.28 : 416,122.32 = 87,845.16 : x
  2. Step 2: Convert to fraction form
    277,373.28/416,122.32 = 87,845.16/x
  3. Step 3: Cross multiply
    277,373.28x = 416,122.32 × 87,845.16
  4. Step 4: Simplify right side
    277,373.28x = 36,554,331,779.97
  5. Step 5: Solve for x
    x = 36,554,331,779.97/277,373.28
  6. Step 6: Final answer
    x = 131,787.50

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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.