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Finding the Fourth Proportional to 137,566.80, 205,912.80 and 98,200.80

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Solution

The fourth proportional to 137,566.80, 205,912.80 and 98,200.80 is: 146,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,566.80 : 205,912.80 = 98,200.80 : x
  2. Step 2: Convert to fraction form
    137,566.80/205,912.80 = 98,200.80/x
  3. Step 3: Cross multiply
    137,566.80x = 205,912.80 × 98,200.80
  4. Step 4: Simplify right side
    137,566.80x = 20,220,801,690.24
  5. Step 5: Solve for x
    x = 20,220,801,690.24/137,566.80
  6. Step 6: Final answer
    x = 146,988.97

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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.