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Finding the Fourth Proportional to 146,472.68, 202,136.24 and 82,820.04

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Solution

The fourth proportional to 146,472.68, 202,136.24 and 82,820.04 is: 114,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,472.68 : 202,136.24 = 82,820.04 : x
  2. Step 2: Convert to fraction form
    146,472.68/202,136.24 = 82,820.04/x
  3. Step 3: Cross multiply
    146,472.68x = 202,136.24 × 82,820.04
  4. Step 4: Simplify right side
    146,472.68x = 16,740,931,482.25
  5. Step 5: Solve for x
    x = 16,740,931,482.25/146,472.68
  6. Step 6: Final answer
    x = 114,293.88

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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.