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Finding the Fourth Proportional to 232,286.21, 320,692.39 and 146,318.89

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Solution

The fourth proportional to 232,286.21, 320,692.39 and 146,318.89 is: 202,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,286.21 : 320,692.39 = 146,318.89 : x
  2. Step 2: Convert to fraction form
    232,286.21/320,692.39 = 146,318.89/x
  3. Step 3: Cross multiply
    232,286.21x = 320,692.39 × 146,318.89
  4. Step 4: Simplify right side
    232,286.21x = 46,923,353,368.72
  5. Step 5: Solve for x
    x = 46,923,353,368.72/232,286.21
  6. Step 6: Final answer
    x = 202,006.62

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1.5x scale

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.