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Finding the Fourth Proportional to 230,645.64, 345,851.82 and 118,301.88

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Solution

The fourth proportional to 230,645.64, 345,851.82 and 118,301.88 is: 177,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,645.64 : 345,851.82 = 118,301.88 : x
  2. Step 2: Convert to fraction form
    230,645.64/345,851.82 = 118,301.88/x
  3. Step 3: Cross multiply
    230,645.64x = 345,851.82 × 118,301.88
  4. Step 4: Simplify right side
    230,645.64x = 40,914,920,507.42
  5. Step 5: Solve for x
    x = 40,914,920,507.42/230,645.64
  6. Step 6: Final answer
    x = 177,392.99

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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.