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Finding the Fourth Proportional to 221,288.10, 305,405.01 and 135,229.38

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Solution

The fourth proportional to 221,288.10, 305,405.01 and 135,229.38 is: 186,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,288.10 : 305,405.01 = 135,229.38 : x
  2. Step 2: Convert to fraction form
    221,288.10/305,405.01 = 135,229.38/x
  3. Step 3: Cross multiply
    221,288.10x = 305,405.01 × 135,229.38
  4. Step 4: Simplify right side
    221,288.10x = 41,299,730,151.19
  5. Step 5: Solve for x
    x = 41,299,730,151.19/221,288.10
  6. Step 6: Final answer
    x = 186,633.31

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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.