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Finding the Fourth Proportional to 102,136.80, 153,194.40 and 32,012.40

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Solution

The fourth proportional to 102,136.80, 153,194.40 and 32,012.40 is: 48,015.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136.80 : 153,194.40 = 32,012.40 : x
  2. Step 2: Convert to fraction form
    102,136.80/153,194.40 = 32,012.40/x
  3. Step 3: Cross multiply
    102,136.80x = 153,194.40 × 32,012.40
  4. Step 4: Simplify right side
    102,136.80x = 4,904,120,410.56
  5. Step 5: Solve for x
    x = 4,904,120,410.56/102,136.80
  6. Step 6: Final answer
    x = 48,015.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.