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Finding the Fourth Proportional to 164,480.32, 226,983.18 and 89,028.82

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Solution

The fourth proportional to 164,480.32, 226,983.18 and 89,028.82 is: 122,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,480.32 : 226,983.18 = 89,028.82 : x
  2. Step 2: Convert to fraction form
    164,480.32/226,983.18 = 89,028.82/x
  3. Step 3: Cross multiply
    164,480.32x = 226,983.18 × 89,028.82
  4. Step 4: Simplify right side
    164,480.32x = 20,208,044,675.25
  5. Step 5: Solve for x
    x = 20,208,044,675.25/164,480.32
  6. Step 6: Final answer
    x = 122,859.95

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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.