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Finding the Fourth Proportional to 270,156.75, 372,823.76 and 149,305.86

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Solution

The fourth proportional to 270,156.75, 372,823.76 and 149,305.86 is: 206,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,156.75 : 372,823.76 = 149,305.86 : x
  2. Step 2: Convert to fraction form
    270,156.75/372,823.76 = 149,305.86/x
  3. Step 3: Cross multiply
    270,156.75x = 372,823.76 × 149,305.86
  4. Step 4: Simplify right side
    270,156.75x = 55,664,771,368.70
  5. Step 5: Solve for x
    x = 55,664,771,368.70/270,156.75
  6. Step 6: Final answer
    x = 206,046.20

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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.