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Finding the Fourth Proportional to 146,692.38, 202,420.71 and 83,019.09

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Solution

The fourth proportional to 146,692.38, 202,420.71 and 83,019.09 is: 114,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,692.38 : 202,420.71 = 83,019.09 : x
  2. Step 2: Convert to fraction form
    146,692.38/202,420.71 = 83,019.09/x
  3. Step 3: Cross multiply
    146,692.38x = 202,420.71 × 83,019.09
  4. Step 4: Simplify right side
    146,692.38x = 16,804,783,141.35
  5. Step 5: Solve for x
    x = 16,804,783,141.35/146,692.38
  6. Step 6: Final answer
    x = 114,557.98

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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.