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Finding the Fourth Proportional to 115,355.24, 159,184.14 and 65,051

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Solution

The fourth proportional to 115,355.24, 159,184.14 and 65,051 is: 89,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,355.24 : 159,184.14 = 65,051 : x
  2. Step 2: Convert to fraction form
    115,355.24/159,184.14 = 65,051/x
  3. Step 3: Cross multiply
    115,355.24x = 159,184.14 × 65,051
  4. Step 4: Simplify right side
    115,355.24x = 10,355,087,491.14
  5. Step 5: Solve for x
    x = 10,355,087,491.14/115,355.24
  6. Step 6: Final answer
    x = 89,766.95

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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.