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Finding the Fourth Proportional to 116,205.60, 160,366.92 and 65,221.50

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Solution

The fourth proportional to 116,205.60, 160,366.92 and 65,221.50 is: 90,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,205.60 : 160,366.92 = 65,221.50 : x
  2. Step 2: Convert to fraction form
    116,205.60/160,366.92 = 65,221.50/x
  3. Step 3: Cross multiply
    116,205.60x = 160,366.92 × 65,221.50
  4. Step 4: Simplify right side
    116,205.60x = 10,459,371,072.78
  5. Step 5: Solve for x
    x = 10,459,371,072.78/116,205.60
  6. Step 6: Final answer
    x = 90,007.46

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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.