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Finding the Fourth Proportional to 146,692.34, 202,436.10 and 83,042.45

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Solution

The fourth proportional to 146,692.34, 202,436.10 and 83,042.45 is: 114,598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,692.34 : 202,436.10 = 83,042.45 : x
  2. Step 2: Convert to fraction form
    146,692.34/202,436.10 = 83,042.45/x
  3. Step 3: Cross multiply
    146,692.34x = 202,436.10 × 83,042.45
  4. Step 4: Simplify right side
    146,692.34x = 16,810,790,218.54
  5. Step 5: Solve for x
    x = 16,810,790,218.54/146,692.34
  6. Step 6: Final answer
    x = 114,598.96

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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.