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Finding the Fourth Proportional to 164,768.67, 227,293.07 and 100,257.57

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Solution

The fourth proportional to 164,768.67, 227,293.07 and 100,257.57 is: 138,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,768.67 : 227,293.07 = 100,257.57 : x
  2. Step 2: Convert to fraction form
    164,768.67/227,293.07 = 100,257.57/x
  3. Step 3: Cross multiply
    164,768.67x = 227,293.07 × 100,257.57
  4. Step 4: Simplify right side
    164,768.67x = 22,787,850,374.75
  5. Step 5: Solve for x
    x = 22,787,850,374.75/164,768.67
  6. Step 6: Final answer
    x = 138,302.08

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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.