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Finding the Fourth Proportional to 116,020.28, 160,114.29 and 65,049.35

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Solution

The fourth proportional to 116,020.28, 160,114.29 and 65,049.35 is: 89,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,020.28 : 160,114.29 = 65,049.35 : x
  2. Step 2: Convert to fraction form
    116,020.28/160,114.29 = 65,049.35/x
  3. Step 3: Cross multiply
    116,020.28x = 160,114.29 × 65,049.35
  4. Step 4: Simplify right side
    116,020.28x = 10,415,329,445.71
  5. Step 5: Solve for x
    x = 10,415,329,445.71/116,020.28
  6. Step 6: Final answer
    x = 89,771.63

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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.