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Finding the Fourth Proportional to 131,498.80, 197,248.20 and 91,409.20

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Solution

The fourth proportional to 131,498.80, 197,248.20 and 91,409.20 is: 137,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,498.80 : 197,248.20 = 91,409.20 : x
  2. Step 2: Convert to fraction form
    131,498.80/197,248.20 = 91,409.20/x
  3. Step 3: Cross multiply
    131,498.80x = 197,248.20 × 91,409.20
  4. Step 4: Simplify right side
    131,498.80x = 18,030,300,163.44
  5. Step 5: Solve for x
    x = 18,030,300,163.44/131,498.80
  6. Step 6: Final answer
    x = 137,113.80

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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.