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Finding the Fourth Proportional to 100,212.28, 138,226.38 and 64,447.52

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Solution

The fourth proportional to 100,212.28, 138,226.38 and 64,447.52 is: 88,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.28 : 138,226.38 = 64,447.52 : x
  2. Step 2: Convert to fraction form
    100,212.28/138,226.38 = 64,447.52/x
  3. Step 3: Cross multiply
    100,212.28x = 138,226.38 × 64,447.52
  4. Step 4: Simplify right side
    100,212.28x = 8,908,347,389.58
  5. Step 5: Solve for x
    x = 8,908,347,389.58/100,212.28
  6. Step 6: Final answer
    x = 88,894.77

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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.