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Finding the Fourth Proportional to 116,616.18, 160,901.82 and 65,619

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Solution

The fourth proportional to 116,616.18, 160,901.82 and 65,619 is: 90,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,616.18 : 160,901.82 = 65,619 : x
  2. Step 2: Convert to fraction form
    116,616.18/160,901.82 = 65,619/x
  3. Step 3: Cross multiply
    116,616.18x = 160,901.82 × 65,619
  4. Step 4: Simplify right side
    116,616.18x = 10,558,216,526.58
  5. Step 5: Solve for x
    x = 10,558,216,526.58/116,616.18
  6. Step 6: Final answer
    x = 90,538.18

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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.