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Finding the Fourth Proportional to 116,131.84, 160,352.52 and 89,231.68

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Solution

The fourth proportional to 116,131.84, 160,352.52 and 89,231.68 is: 123,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,131.84 : 160,352.52 = 89,231.68 : x
  2. Step 2: Convert to fraction form
    116,131.84/160,352.52 = 89,231.68/x
  3. Step 3: Cross multiply
    116,131.84x = 160,352.52 × 89,231.68
  4. Step 4: Simplify right side
    116,131.84x = 14,308,524,751.83
  5. Step 5: Solve for x
    x = 14,308,524,751.83/116,131.84
  6. Step 6: Final answer
    x = 123,209.32

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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.