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Finding the Fourth Proportional to 185,652.70, 255,741.56 and 158,339.50

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Solution

The fourth proportional to 185,652.70, 255,741.56 and 158,339.50 is: 218,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,652.70 : 255,741.56 = 158,339.50 : x
  2. Step 2: Convert to fraction form
    185,652.70/255,741.56 = 158,339.50/x
  3. Step 3: Cross multiply
    185,652.70x = 255,741.56 × 158,339.50
  4. Step 4: Simplify right side
    185,652.70x = 40,493,990,739.62
  5. Step 5: Solve for x
    x = 40,493,990,739.62/185,652.70
  6. Step 6: Final answer
    x = 218,116.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.