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Finding the Fourth Proportional to 146,692.31, 202,440.20 and 83,028.74

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Solution

The fourth proportional to 146,692.31, 202,440.20 and 83,028.74 is: 114,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,692.31 : 202,440.20 = 83,028.74 : x
  2. Step 2: Convert to fraction form
    146,692.31/202,440.20 = 83,028.74/x
  3. Step 3: Cross multiply
    146,692.31x = 202,440.20 × 83,028.74
  4. Step 4: Simplify right side
    146,692.31x = 16,808,353,304.00
  5. Step 5: Solve for x
    x = 16,808,353,304.00/146,692.31
  6. Step 6: Final answer
    x = 114,582.38

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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.