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Finding the Fourth Proportional to 164,397, 226,904.10 and 106,936.20

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Solution

The fourth proportional to 164,397, 226,904.10 and 106,936.20 is: 147,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,397 : 226,904.10 = 106,936.20 : x
  2. Step 2: Convert to fraction form
    164,397/226,904.10 = 106,936.20/x
  3. Step 3: Cross multiply
    164,397x = 226,904.10 × 106,936.20
  4. Step 4: Simplify right side
    164,397x = 24,264,262,218.42
  5. Step 5: Solve for x
    x = 24,264,262,218.42/164,397
  6. Step 6: Final answer
    x = 147,595.53

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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.