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Finding the Fourth Proportional to 146,502.95, 202,164.50 and 81,961.16

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Solution

The fourth proportional to 146,502.95, 202,164.50 and 81,961.16 is: 113,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,502.95 : 202,164.50 = 81,961.16 : x
  2. Step 2: Convert to fraction form
    146,502.95/202,164.50 = 81,961.16/x
  3. Step 3: Cross multiply
    146,502.95x = 202,164.50 × 81,961.16
  4. Step 4: Simplify right side
    146,502.95x = 16,569,636,124.90
  5. Step 5: Solve for x
    x = 16,569,636,124.90/146,502.95
  6. Step 6: Final answer
    x = 113,101.04

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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.