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Finding the Fourth Proportional to 150,407.05, 225,735.17 and 75,548.58

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Solution

The fourth proportional to 150,407.05, 225,735.17 and 75,548.58 is: 113,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,407.05 : 225,735.17 = 75,548.58 : x
  2. Step 2: Convert to fraction form
    150,407.05/225,735.17 = 75,548.58/x
  3. Step 3: Cross multiply
    150,407.05x = 225,735.17 × 75,548.58
  4. Step 4: Simplify right side
    150,407.05x = 17,053,971,549.56
  5. Step 5: Solve for x
    x = 17,053,971,549.56/150,407.05
  6. Step 6: Final answer
    x = 113,385.45

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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.