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Finding the Fourth Proportional to 164,468.32, 226,966.24 and 89,016.80

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Solution

The fourth proportional to 164,468.32, 226,966.24 and 89,016.80 is: 122,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,468.32 : 226,966.24 = 89,016.80 : x
  2. Step 2: Convert to fraction form
    164,468.32/226,966.24 = 89,016.80/x
  3. Step 3: Cross multiply
    164,468.32x = 226,966.24 × 89,016.80
  4. Step 4: Simplify right side
    164,468.32x = 20,203,808,392.83
  5. Step 5: Solve for x
    x = 20,203,808,392.83/164,468.32
  6. Step 6: Final answer
    x = 122,843.16

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1.5x scale

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.