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Finding the Fourth Proportional to 232,238.96, 347,767.56 and 153,113.12

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Solution

The fourth proportional to 232,238.96, 347,767.56 and 153,113.12 is: 229,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,238.96 : 347,767.56 = 153,113.12 : x
  2. Step 2: Convert to fraction form
    232,238.96/347,767.56 = 153,113.12/x
  3. Step 3: Cross multiply
    232,238.96x = 347,767.56 × 153,113.12
  4. Step 4: Simplify right side
    232,238.96x = 53,247,776,146.39
  5. Step 5: Solve for x
    x = 53,247,776,146.39/232,238.96
  6. Step 6: Final answer
    x = 229,280.12

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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.