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Finding the Fourth Proportional to 98,160.78, 147,289.96 and 38,995.14

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Solution

The fourth proportional to 98,160.78, 147,289.96 and 38,995.14 is: 58,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,160.78 : 147,289.96 = 38,995.14 : x
  2. Step 2: Convert to fraction form
    98,160.78/147,289.96 = 38,995.14/x
  3. Step 3: Cross multiply
    98,160.78x = 147,289.96 × 38,995.14
  4. Step 4: Simplify right side
    98,160.78x = 5,743,592,610.79
  5. Step 5: Solve for x
    x = 5,743,592,610.79/98,160.78
  6. Step 6: Final answer
    x = 58,512.09

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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.