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Finding the Fourth Proportional to 115,898.52, 159,912.54 and 65,597.52

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Solution

The fourth proportional to 115,898.52, 159,912.54 and 65,597.52 is: 90,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,898.52 : 159,912.54 = 65,597.52 : x
  2. Step 2: Convert to fraction form
    115,898.52/159,912.54 = 65,597.52/x
  3. Step 3: Cross multiply
    115,898.52x = 159,912.54 × 65,597.52
  4. Step 4: Simplify right side
    115,898.52x = 10,489,866,040.90
  5. Step 5: Solve for x
    x = 10,489,866,040.90/115,898.52
  6. Step 6: Final answer
    x = 90,509.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.