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Finding the Fourth Proportional to 116,312.64, 160,572.39 and 78,272.20

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Solution

The fourth proportional to 116,312.64, 160,572.39 and 78,272.20 is: 108,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,312.64 : 160,572.39 = 78,272.20 : x
  2. Step 2: Convert to fraction form
    116,312.64/160,572.39 = 78,272.20/x
  3. Step 3: Cross multiply
    116,312.64x = 160,572.39 × 78,272.20
  4. Step 4: Simplify right side
    116,312.64x = 12,568,354,224.56
  5. Step 5: Solve for x
    x = 12,568,354,224.56/116,312.64
  6. Step 6: Final answer
    x = 108,056.65

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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.