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Finding the Fourth Proportional to 225,904.65, 311,959.38 and 145,473.62

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Solution

The fourth proportional to 225,904.65, 311,959.38 and 145,473.62 is: 200,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,904.65 : 311,959.38 = 145,473.62 : x
  2. Step 2: Convert to fraction form
    225,904.65/311,959.38 = 145,473.62/x
  3. Step 3: Cross multiply
    225,904.65x = 311,959.38 × 145,473.62
  4. Step 4: Simplify right side
    225,904.65x = 45,381,859,814.62
  5. Step 5: Solve for x
    x = 45,381,859,814.62/225,904.65
  6. Step 6: Final answer
    x = 200,889.45

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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.