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Finding the Fourth Proportional to 167,271.30, 230,516.20 and 164,197.20

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Solution

The fourth proportional to 167,271.30, 230,516.20 and 164,197.20 is: 226,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,271.30 : 230,516.20 = 164,197.20 : x
  2. Step 2: Convert to fraction form
    167,271.30/230,516.20 = 164,197.20/x
  3. Step 3: Cross multiply
    167,271.30x = 230,516.20 × 164,197.20
  4. Step 4: Simplify right side
    167,271.30x = 37,850,115,477.80
  5. Step 5: Solve for x
    x = 37,850,115,477.80/167,271.30
  6. Step 6: Final answer
    x = 226,279.79

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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.