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Finding the Fourth Proportional to 146,862.58, 202,680.39 and 83,200.90

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Solution

The fourth proportional to 146,862.58, 202,680.39 and 83,200.90 is: 114,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,862.58 : 202,680.39 = 83,200.90 : x
  2. Step 2: Convert to fraction form
    146,862.58/202,680.39 = 83,200.90/x
  3. Step 3: Cross multiply
    146,862.58x = 202,680.39 × 83,200.90
  4. Step 4: Simplify right side
    146,862.58x = 16,863,190,444.35
  5. Step 5: Solve for x
    x = 16,863,190,444.35/146,862.58
  6. Step 6: Final answer
    x = 114,822.92

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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.