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Finding the Fourth Proportional to 232,194.40, 347,708.40 and 152,879.20

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Solution

The fourth proportional to 232,194.40, 347,708.40 and 152,879.20 is: 228,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,194.40 : 347,708.40 = 152,879.20 : x
  2. Step 2: Convert to fraction form
    232,194.40/347,708.40 = 152,879.20/x
  3. Step 3: Cross multiply
    232,194.40x = 347,708.40 × 152,879.20
  4. Step 4: Simplify right side
    232,194.40x = 53,157,382,025.28
  5. Step 5: Solve for x
    x = 53,157,382,025.28/232,194.40
  6. Step 6: Final answer
    x = 228,934.82

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