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Finding the Fourth Proportional to 115,400.12, 159,256.98 and 65,099

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Solution

The fourth proportional to 115,400.12, 159,256.98 and 65,099 is: 89,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,400.12 : 159,256.98 = 65,099 : x
  2. Step 2: Convert to fraction form
    115,400.12/159,256.98 = 65,099/x
  3. Step 3: Cross multiply
    115,400.12x = 159,256.98 × 65,099
  4. Step 4: Simplify right side
    115,400.12x = 10,367,470,141.02
  5. Step 5: Solve for x
    x = 10,367,470,141.02/115,400.12
  6. Step 6: Final answer
    x = 89,839.34

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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.