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Finding the Fourth Proportional to 164,433, 226,919.16 and 88,983.12

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Solution

The fourth proportional to 164,433, 226,919.16 and 88,983.12 is: 122,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,433 : 226,919.16 = 88,983.12 : x
  2. Step 2: Convert to fraction form
    164,433/226,919.16 = 88,983.12/x
  3. Step 3: Cross multiply
    164,433x = 226,919.16 × 88,983.12
  4. Step 4: Simplify right side
    164,433x = 20,191,974,844.58
  5. Step 5: Solve for x
    x = 20,191,974,844.58/164,433
  6. Step 6: Final answer
    x = 122,797.58

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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.