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Finding the Fourth Proportional to 164,378.25, 226,843.20 and 100,758.42

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Solution

The fourth proportional to 164,378.25, 226,843.20 and 100,758.42 is: 139,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,378.25 : 226,843.20 = 100,758.42 : x
  2. Step 2: Convert to fraction form
    164,378.25/226,843.20 = 100,758.42/x
  3. Step 3: Cross multiply
    164,378.25x = 226,843.20 × 100,758.42
  4. Step 4: Simplify right side
    164,378.25x = 22,856,362,419.74
  5. Step 5: Solve for x
    x = 22,856,362,419.74/164,378.25
  6. Step 6: Final answer
    x = 139,047.36

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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.