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Finding the Fourth Proportional to 185,195.87, 278,162.86 and 174,751.12

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Solution

The fourth proportional to 185,195.87, 278,162.86 and 174,751.12 is: 262,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,195.87 : 278,162.86 = 174,751.12 : x
  2. Step 2: Convert to fraction form
    185,195.87/278,162.86 = 174,751.12/x
  3. Step 3: Cross multiply
    185,195.87x = 278,162.86 × 174,751.12
  4. Step 4: Simplify right side
    185,195.87x = 48,609,270,890.53
  5. Step 5: Solve for x
    x = 48,609,270,890.53/185,195.87
  6. Step 6: Final answer
    x = 262,474.92

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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.