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Finding the Fourth Proportional to 168,012.76, 252,019.14 and 97,842.87

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Solution

The fourth proportional to 168,012.76, 252,019.14 and 97,842.87 is: 146,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,012.76 : 252,019.14 = 97,842.87 : x
  2. Step 2: Convert to fraction form
    168,012.76/252,019.14 = 97,842.87/x
  3. Step 3: Cross multiply
    168,012.76x = 252,019.14 × 97,842.87
  4. Step 4: Simplify right side
    168,012.76x = 24,658,275,702.37
  5. Step 5: Solve for x
    x = 24,658,275,702.37/168,012.76
  6. Step 6: Final answer
    x = 146,764.30

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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.