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Finding the Fourth Proportional to 225,430.90, 311,305.38 and 144,998.05

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Solution

The fourth proportional to 225,430.90, 311,305.38 and 144,998.05 is: 200,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,430.90 : 311,305.38 = 144,998.05 : x
  2. Step 2: Convert to fraction form
    225,430.90/311,305.38 = 144,998.05/x
  3. Step 3: Cross multiply
    225,430.90x = 311,305.38 × 144,998.05
  4. Step 4: Simplify right side
    225,430.90x = 45,138,672,316.20
  5. Step 5: Solve for x
    x = 45,138,672,316.20/225,430.90
  6. Step 6: Final answer
    x = 200,232.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.