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Finding the Fourth Proportional to 116,229.60, 174,093.84 and 78,582.96

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Solution

The fourth proportional to 116,229.60, 174,093.84 and 78,582.96 is: 117,705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,229.60 : 174,093.84 = 78,582.96 : x
  2. Step 2: Convert to fraction form
    116,229.60/174,093.84 = 78,582.96/x
  3. Step 3: Cross multiply
    116,229.60x = 174,093.84 × 78,582.96
  4. Step 4: Simplify right side
    116,229.60x = 13,680,809,264.97
  5. Step 5: Solve for x
    x = 13,680,809,264.97/116,229.60
  6. Step 6: Final answer
    x = 117,705.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.