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Finding the Fourth Proportional to 174,211.56, 260,987.67 and 102,921.03

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Solution

The fourth proportional to 174,211.56, 260,987.67 and 102,921.03 is: 154,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,211.56 : 260,987.67 = 102,921.03 : x
  2. Step 2: Convert to fraction form
    174,211.56/260,987.67 = 102,921.03/x
  3. Step 3: Cross multiply
    174,211.56x = 260,987.67 × 102,921.03
  4. Step 4: Simplify right side
    174,211.56x = 26,861,119,813.70
  5. Step 5: Solve for x
    x = 26,861,119,813.70/174,211.56
  6. Step 6: Final answer
    x = 154,186.78

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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.