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Finding the Fourth Proportional to 116,114.29, 160,224.91 and 65,116.53

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Solution

The fourth proportional to 116,114.29, 160,224.91 and 65,116.53 is: 89,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,114.29 : 160,224.91 = 65,116.53 : x
  2. Step 2: Convert to fraction form
    116,114.29/160,224.91 = 65,116.53/x
  3. Step 3: Cross multiply
    116,114.29x = 160,224.91 × 65,116.53
  4. Step 4: Simplify right side
    116,114.29x = 10,433,290,158.76
  5. Step 5: Solve for x
    x = 10,433,290,158.76/116,114.29
  6. Step 6: Final answer
    x = 89,853.63

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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.