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Finding the Fourth Proportional to 116,207.28, 160,344.72 and 78,022.26

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Solution

The fourth proportional to 116,207.28, 160,344.72 and 78,022.26 is: 107,656.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,207.28 : 160,344.72 = 78,022.26 : x
  2. Step 2: Convert to fraction form
    116,207.28/160,344.72 = 78,022.26/x
  3. Step 3: Cross multiply
    116,207.28x = 160,344.72 × 78,022.26
  4. Step 4: Simplify right side
    116,207.28x = 12,510,457,433.47
  5. Step 5: Solve for x
    x = 12,510,457,433.47/116,207.28
  6. Step 6: Final answer
    x = 107,656.40

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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.