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Finding the Fourth Proportional to 232,286.51, 320,692.80 and 146,319.19

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Solution

The fourth proportional to 232,286.51, 320,692.80 and 146,319.19 is: 202,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,286.51 : 320,692.80 = 146,319.19 : x
  2. Step 2: Convert to fraction form
    232,286.51/320,692.80 = 146,319.19/x
  3. Step 3: Cross multiply
    232,286.51x = 320,692.80 × 146,319.19
  4. Step 4: Simplify right side
    232,286.51x = 46,923,510,734.83
  5. Step 5: Solve for x
    x = 46,923,510,734.83/232,286.51
  6. Step 6: Final answer
    x = 202,007.04

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Why These Related Problems?

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