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Finding the Fourth Proportional to 225,166.32, 310,771.26 and 144,694.44

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Solution

The fourth proportional to 225,166.32, 310,771.26 and 144,694.44 is: 199,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,166.32 : 310,771.26 = 144,694.44 : x
  2. Step 2: Convert to fraction form
    225,166.32/310,771.26 = 144,694.44/x
  3. Step 3: Cross multiply
    225,166.32x = 310,771.26 × 144,694.44
  4. Step 4: Simplify right side
    225,166.32x = 44,966,873,433.79
  5. Step 5: Solve for x
    x = 44,966,873,433.79/225,166.32
  6. Step 6: Final answer
    x = 199,705.15

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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.