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Finding the Fourth Proportional to 327,359.61, 491,159.31 and 137,867.67

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Solution

The fourth proportional to 327,359.61, 491,159.31 and 137,867.67 is: 206,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,359.61 : 491,159.31 = 137,867.67 : x
  2. Step 2: Convert to fraction form
    327,359.61/491,159.31 = 137,867.67/x
  3. Step 3: Cross multiply
    327,359.61x = 491,159.31 × 137,867.67
  4. Step 4: Simplify right side
    327,359.61x = 67,714,989,668.51
  5. Step 5: Solve for x
    x = 67,714,989,668.51/327,359.61
  6. Step 6: Final answer
    x = 206,852.00

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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.