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Finding the Fourth Proportional to 225,008.36, 310,441.38 and 149,569.64

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Solution

The fourth proportional to 225,008.36, 310,441.38 and 149,569.64 is: 206,359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,008.36 : 310,441.38 = 149,569.64 : x
  2. Step 2: Convert to fraction form
    225,008.36/310,441.38 = 149,569.64/x
  3. Step 3: Cross multiply
    225,008.36x = 310,441.38 × 149,569.64
  4. Step 4: Simplify right side
    225,008.36x = 46,432,605,447.70
  5. Step 5: Solve for x
    x = 46,432,605,447.70/225,008.36
  6. Step 6: Final answer
    x = 206,359.47

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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.