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Finding the Fourth Proportional to 116,207.22, 160,352.75 and 65,209.42

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Solution

The fourth proportional to 116,207.22, 160,352.75 and 65,209.42 is: 89,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,207.22 : 160,352.75 = 65,209.42 : x
  2. Step 2: Convert to fraction form
    116,207.22/160,352.75 = 65,209.42/x
  3. Step 3: Cross multiply
    116,207.22x = 160,352.75 × 65,209.42
  4. Step 4: Simplify right side
    116,207.22x = 10,456,509,822.91
  5. Step 5: Solve for x
    x = 10,456,509,822.91/116,207.22
  6. Step 6: Final answer
    x = 89,981.58

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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.