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Finding the Fourth Proportional to 225,283.14, 310,766.22 and 144,722.61

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Solution

The fourth proportional to 225,283.14, 310,766.22 and 144,722.61 is: 199,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,283.14 : 310,766.22 = 144,722.61 : x
  2. Step 2: Convert to fraction form
    225,283.14/310,766.22 = 144,722.61/x
  3. Step 3: Cross multiply
    225,283.14x = 310,766.22 × 144,722.61
  4. Step 4: Simplify right side
    225,283.14x = 44,974,898,458.23
  5. Step 5: Solve for x
    x = 44,974,898,458.23/225,283.14
  6. Step 6: Final answer
    x = 199,637.21

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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.