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Finding the Fourth Proportional to 155,102.34, 232,769.31 and 115,213.43

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Solution

The fourth proportional to 155,102.34, 232,769.31 and 115,213.43 is: 172,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,102.34 : 232,769.31 = 115,213.43 : x
  2. Step 2: Convert to fraction form
    155,102.34/232,769.31 = 115,213.43/x
  3. Step 3: Cross multiply
    155,102.34x = 232,769.31 × 115,213.43
  4. Step 4: Simplify right side
    155,102.34x = 26,818,150,603.83
  5. Step 5: Solve for x
    x = 26,818,150,603.83/155,102.34
  6. Step 6: Final answer
    x = 172,906.16

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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.