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Finding the Fourth Proportional to 164,645.76, 227,215.44 and 100,946.88

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Solution

The fourth proportional to 164,645.76, 227,215.44 and 100,946.88 is: 139,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,645.76 : 227,215.44 = 100,946.88 : x
  2. Step 2: Convert to fraction form
    164,645.76/227,215.44 = 100,946.88/x
  3. Step 3: Cross multiply
    164,645.76x = 227,215.44 × 100,946.88
  4. Step 4: Simplify right side
    164,645.76x = 22,936,689,755.83
  5. Step 5: Solve for x
    x = 22,936,689,755.83/164,645.76
  6. Step 6: Final answer
    x = 139,309.33

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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.