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Finding the Fourth Proportional to 232,286.49, 320,692.77 and 146,319.16

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Solution

The fourth proportional to 232,286.49, 320,692.77 and 146,319.16 is: 202,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,286.49 : 320,692.77 = 146,319.16 : x
  2. Step 2: Convert to fraction form
    232,286.49/320,692.77 = 146,319.16/x
  3. Step 3: Cross multiply
    232,286.49x = 320,692.77 × 146,319.16
  4. Step 4: Simplify right side
    232,286.49x = 46,923,496,977.51
  5. Step 5: Solve for x
    x = 46,923,496,977.51/232,286.49
  6. Step 6: Final answer
    x = 202,007.00

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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.