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Finding the Fourth Proportional to 144,738.40, 217,107.60 and 137,135.20

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Solution

The fourth proportional to 144,738.40, 217,107.60 and 137,135.20 is: 205,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,738.40 : 217,107.60 = 137,135.20 : x
  2. Step 2: Convert to fraction form
    144,738.40/217,107.60 = 137,135.20/x
  3. Step 3: Cross multiply
    144,738.40x = 217,107.60 × 137,135.20
  4. Step 4: Simplify right side
    144,738.40x = 29,773,094,147.52
  5. Step 5: Solve for x
    x = 29,773,094,147.52/144,738.40
  6. Step 6: Final answer
    x = 205,702.80

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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.