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Finding the Fourth Proportional to 164,691.72, 227,186.93 and 100,180.68

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Solution

The fourth proportional to 164,691.72, 227,186.93 and 100,180.68 is: 138,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,691.72 : 227,186.93 = 100,180.68 : x
  2. Step 2: Convert to fraction form
    164,691.72/227,186.93 = 100,180.68/x
  3. Step 3: Cross multiply
    164,691.72x = 227,186.93 × 100,180.68
  4. Step 4: Simplify right side
    164,691.72x = 22,759,740,633.61
  5. Step 5: Solve for x
    x = 22,759,740,633.61/164,691.72
  6. Step 6: Final answer
    x = 138,196.02

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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.