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Finding the Fourth Proportional to 232,464.50, 348,696.75 and 92,223.12

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Solution

The fourth proportional to 232,464.50, 348,696.75 and 92,223.12 is: 138,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,464.50 : 348,696.75 = 92,223.12 : x
  2. Step 2: Convert to fraction form
    232,464.50/348,696.75 = 92,223.12/x
  3. Step 3: Cross multiply
    232,464.50x = 348,696.75 × 92,223.12
  4. Step 4: Simplify right side
    232,464.50x = 32,157,902,218.86
  5. Step 5: Solve for x
    x = 32,157,902,218.86/232,464.50
  6. Step 6: Final answer
    x = 138,334.68

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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.