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Finding the Fourth Proportional to 150,019.40, 225,029.10 and 133,430.60

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Solution

The fourth proportional to 150,019.40, 225,029.10 and 133,430.60 is: 200,145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,019.40 : 225,029.10 = 133,430.60 : x
  2. Step 2: Convert to fraction form
    150,019.40/225,029.10 = 133,430.60/x
  3. Step 3: Cross multiply
    150,019.40x = 225,029.10 × 133,430.60
  4. Step 4: Simplify right side
    150,019.40x = 30,025,767,830.46
  5. Step 5: Solve for x
    x = 30,025,767,830.46/150,019.40
  6. Step 6: Final answer
    x = 200,145.90

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