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Finding the Fourth Proportional to 231,780.53, 347,076.21 and 160,602.05

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Solution

The fourth proportional to 231,780.53, 347,076.21 and 160,602.05 is: 240,491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,780.53 : 347,076.21 = 160,602.05 : x
  2. Step 2: Convert to fraction form
    231,780.53/347,076.21 = 160,602.05/x
  3. Step 3: Cross multiply
    231,780.53x = 347,076.21 × 160,602.05
  4. Step 4: Simplify right side
    231,780.53x = 55,741,150,832.23
  5. Step 5: Solve for x
    x = 55,741,150,832.23/231,780.53
  6. Step 6: Final answer
    x = 240,491.08

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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.