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Finding the Fourth Proportional to 185,840.34, 255,990.72 and 149,929.80

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Solution

The fourth proportional to 185,840.34, 255,990.72 and 149,929.80 is: 206,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,840.34 : 255,990.72 = 149,929.80 : x
  2. Step 2: Convert to fraction form
    185,840.34/255,990.72 = 149,929.80/x
  3. Step 3: Cross multiply
    185,840.34x = 255,990.72 × 149,929.80
  4. Step 4: Simplify right side
    185,840.34x = 38,380,637,451.46
  5. Step 5: Solve for x
    x = 38,380,637,451.46/185,840.34
  6. Step 6: Final answer
    x = 206,524.79

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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.