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Finding the Fourth Proportional to 163,722.16, 225,949.62 and 92,097.88

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Solution

The fourth proportional to 163,722.16, 225,949.62 and 92,097.88 is: 127,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,722.16 : 225,949.62 = 92,097.88 : x
  2. Step 2: Convert to fraction form
    163,722.16/225,949.62 = 92,097.88/x
  3. Step 3: Cross multiply
    163,722.16x = 225,949.62 × 92,097.88
  4. Step 4: Simplify right side
    163,722.16x = 20,809,480,988.81
  5. Step 5: Solve for x
    x = 20,809,480,988.81/163,722.16
  6. Step 6: Final answer
    x = 127,102.41

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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.