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Finding the Fourth Proportional to 100,136.70, 150,205.05 and 47,648.70

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Solution

The fourth proportional to 100,136.70, 150,205.05 and 47,648.70 is: 71,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,136.70 : 150,205.05 = 47,648.70 : x
  2. Step 2: Convert to fraction form
    100,136.70/150,205.05 = 47,648.70/x
  3. Step 3: Cross multiply
    100,136.70x = 150,205.05 × 47,648.70
  4. Step 4: Simplify right side
    100,136.70x = 7,157,075,365.94
  5. Step 5: Solve for x
    x = 7,157,075,365.94/100,136.70
  6. Step 6: Final answer
    x = 71,473.05

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1.5x scale

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.