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Finding the Fourth Proportional to 232,170.57, 320,259.65 and 145,993.19

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Solution

The fourth proportional to 232,170.57, 320,259.65 and 145,993.19 is: 201,385.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,170.57 : 320,259.65 = 145,993.19 : x
  2. Step 2: Convert to fraction form
    232,170.57/320,259.65 = 145,993.19/x
  3. Step 3: Cross multiply
    232,170.57x = 320,259.65 × 145,993.19
  4. Step 4: Simplify right side
    232,170.57x = 46,755,725,600.52
  5. Step 5: Solve for x
    x = 46,755,725,600.52/232,170.57
  6. Step 6: Final answer
    x = 201,385.24

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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.