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Finding the Fourth Proportional to 150,641.09, 225,962.94 and 38,321.42

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Solution

The fourth proportional to 150,641.09, 225,962.94 and 38,321.42 is: 57,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,641.09 : 225,962.94 = 38,321.42 : x
  2. Step 2: Convert to fraction form
    150,641.09/225,962.94 = 38,321.42/x
  3. Step 3: Cross multiply
    150,641.09x = 225,962.94 × 38,321.42
  4. Step 4: Simplify right side
    150,641.09x = 8,659,220,536.57
  5. Step 5: Solve for x
    x = 8,659,220,536.57/150,641.09
  6. Step 6: Final answer
    x = 57,482.46

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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.