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Finding the Fourth Proportional to 159,304.85, 238,957.25 and 65,813.03

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Solution

The fourth proportional to 159,304.85, 238,957.25 and 65,813.03 is: 98,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,304.85 : 238,957.25 = 65,813.03 : x
  2. Step 2: Convert to fraction form
    159,304.85/238,957.25 = 65,813.03/x
  3. Step 3: Cross multiply
    159,304.85x = 238,957.25 × 65,813.03
  4. Step 4: Simplify right side
    159,304.85x = 15,726,499,139.12
  5. Step 5: Solve for x
    x = 15,726,499,139.12/159,304.85
  6. Step 6: Final answer
    x = 98,719.53

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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.