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Finding the Fourth Proportional to 232,050.16, 320,223 and 136,562.48

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Solution

The fourth proportional to 232,050.16, 320,223 and 136,562.48 is: 188,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,050.16 : 320,223 = 136,562.48 : x
  2. Step 2: Convert to fraction form
    232,050.16/320,223 = 136,562.48/x
  3. Step 3: Cross multiply
    232,050.16x = 320,223 × 136,562.48
  4. Step 4: Simplify right side
    232,050.16x = 43,730,447,033.04
  5. Step 5: Solve for x
    x = 43,730,447,033.04/232,050.16
  6. Step 6: Final answer
    x = 188,452.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.