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Finding the Fourth Proportional to 115,536.24, 159,422.04 and 65,234.16

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Solution

The fourth proportional to 115,536.24, 159,422.04 and 65,234.16 is: 90,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,536.24 : 159,422.04 = 65,234.16 : x
  2. Step 2: Convert to fraction form
    115,536.24/159,422.04 = 65,234.16/x
  3. Step 3: Cross multiply
    115,536.24x = 159,422.04 × 65,234.16
  4. Step 4: Simplify right side
    115,536.24x = 10,399,762,864.89
  5. Step 5: Solve for x
    x = 10,399,762,864.89/115,536.24
  6. Step 6: Final answer
    x = 90,012.99

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