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Finding the Fourth Proportional to 98,047.20, 147,144.96 and 71,820.12

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Solution

The fourth proportional to 98,047.20, 147,144.96 and 71,820.12 is: 107,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,047.20 : 147,144.96 = 71,820.12 : x
  2. Step 2: Convert to fraction form
    98,047.20/147,144.96 = 71,820.12/x
  3. Step 3: Cross multiply
    98,047.20x = 147,144.96 × 71,820.12
  4. Step 4: Simplify right side
    98,047.20x = 10,567,968,684.60
  5. Step 5: Solve for x
    x = 10,567,968,684.60/98,047.20
  6. Step 6: Final answer
    x = 107,784.50

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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.