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Finding the Fourth Proportional to 164,323.28, 226,766.13 and 88,871.78

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Solution

The fourth proportional to 164,323.28, 226,766.13 and 88,871.78 is: 122,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,323.28 : 226,766.13 = 88,871.78 : x
  2. Step 2: Convert to fraction form
    164,323.28/226,766.13 = 88,871.78/x
  3. Step 3: Cross multiply
    164,323.28x = 226,766.13 × 88,871.78
  4. Step 4: Simplify right side
    164,323.28x = 20,153,109,616.81
  5. Step 5: Solve for x
    x = 20,153,109,616.81/164,323.28
  6. Step 6: Final answer
    x = 122,643.06

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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.