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Finding the Fourth Proportional to 150,403.50, 225,455.13 and 75,294.36

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Solution

The fourth proportional to 150,403.50, 225,455.13 and 75,294.36 is: 112,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,403.50 : 225,455.13 = 75,294.36 : x
  2. Step 2: Convert to fraction form
    150,403.50/225,455.13 = 75,294.36/x
  3. Step 3: Cross multiply
    150,403.50x = 225,455.13 × 75,294.36
  4. Step 4: Simplify right side
    150,403.50x = 16,975,499,722.07
  5. Step 5: Solve for x
    x = 16,975,499,722.07/150,403.50
  6. Step 6: Final answer
    x = 112,866.39

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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.