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Finding the Fourth Proportional to 116,232.96, 160,416 and 65,948.16

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Solution

The fourth proportional to 116,232.96, 160,416 and 65,948.16 is: 91,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,232.96 : 160,416 = 65,948.16 : x
  2. Step 2: Convert to fraction form
    116,232.96/160,416 = 65,948.16/x
  3. Step 3: Cross multiply
    116,232.96x = 160,416 × 65,948.16
  4. Step 4: Simplify right side
    116,232.96x = 10,579,140,034.56
  5. Step 5: Solve for x
    x = 10,579,140,034.56/116,232.96
  6. Step 6: Final answer
    x = 91,016.70

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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.