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Finding the Fourth Proportional to 381,076.53, 571,116.48 and 156,173.65

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Solution

The fourth proportional to 381,076.53, 571,116.48 and 156,173.65 is: 234,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,076.53 : 571,116.48 = 156,173.65 : x
  2. Step 2: Convert to fraction form
    381,076.53/571,116.48 = 156,173.65/x
  3. Step 3: Cross multiply
    381,076.53x = 571,116.48 × 156,173.65
  4. Step 4: Simplify right side
    381,076.53x = 89,193,345,256.75
  5. Step 5: Solve for x
    x = 89,193,345,256.75/381,076.53
  6. Step 6: Final answer
    x = 234,056.25

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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.