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Finding the Fourth Proportional to 137,375.80, 205,626.30 and 98,009.80

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Solution

The fourth proportional to 137,375.80, 205,626.30 and 98,009.80 is: 146,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,375.80 : 205,626.30 = 98,009.80 : x
  2. Step 2: Convert to fraction form
    137,375.80/205,626.30 = 98,009.80/x
  3. Step 3: Cross multiply
    137,375.80x = 205,626.30 × 98,009.80
  4. Step 4: Simplify right side
    137,375.80x = 20,153,392,537.74
  5. Step 5: Solve for x
    x = 20,153,392,537.74/137,375.80
  6. Step 6: Final answer
    x = 146,702.64

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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.