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Finding the Fourth Proportional to 225,334.32, 337,991.23 and 75,563.10

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Solution

The fourth proportional to 225,334.32, 337,991.23 and 75,563.10 is: 113,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,334.32 : 337,991.23 = 75,563.10 : x
  2. Step 2: Convert to fraction form
    225,334.32/337,991.23 = 75,563.10/x
  3. Step 3: Cross multiply
    225,334.32x = 337,991.23 × 75,563.10
  4. Step 4: Simplify right side
    225,334.32x = 25,539,663,043.84
  5. Step 5: Solve for x
    x = 25,539,663,043.84/225,334.32
  6. Step 6: Final answer
    x = 113,341.20

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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.