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Finding the Fourth Proportional to 98,131.20, 147,196.80 and 24,259.20

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Solution

The fourth proportional to 98,131.20, 147,196.80 and 24,259.20 is: 36,388.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,131.20 : 147,196.80 = 24,259.20 : x
  2. Step 2: Convert to fraction form
    98,131.20/147,196.80 = 24,259.20/x
  3. Step 3: Cross multiply
    98,131.20x = 147,196.80 × 24,259.20
  4. Step 4: Simplify right side
    98,131.20x = 3,570,876,610.56
  5. Step 5: Solve for x
    x = 3,570,876,610.56/98,131.20
  6. Step 6: Final answer
    x = 36,388.80

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1.5x scale

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.