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Finding the Fourth Proportional to 97,739.20, 146,608.80 and 58,340.80

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Solution

The fourth proportional to 97,739.20, 146,608.80 and 58,340.80 is: 87,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,739.20 : 146,608.80 = 58,340.80 : x
  2. Step 2: Convert to fraction form
    97,739.20/146,608.80 = 58,340.80/x
  3. Step 3: Cross multiply
    97,739.20x = 146,608.80 × 58,340.80
  4. Step 4: Simplify right side
    97,739.20x = 8,553,274,679.04
  5. Step 5: Solve for x
    x = 8,553,274,679.04/97,739.20
  6. Step 6: Final answer
    x = 87,511.20

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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.