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Finding the Fourth Proportional to 164,435.66, 226,767.20 and 109,147.20

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Solution

The fourth proportional to 164,435.66, 226,767.20 and 109,147.20 is: 150,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,435.66 : 226,767.20 = 109,147.20 : x
  2. Step 2: Convert to fraction form
    164,435.66/226,767.20 = 109,147.20/x
  3. Step 3: Cross multiply
    164,435.66x = 226,767.20 × 109,147.20
  4. Step 4: Simplify right side
    164,435.66x = 24,751,004,931.84
  5. Step 5: Solve for x
    x = 24,751,004,931.84/164,435.66
  6. Step 6: Final answer
    x = 150,520.91

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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.