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Finding the Fourth Proportional to 164,468.56, 226,970.76 and 100,841.44

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Solution

The fourth proportional to 164,468.56, 226,970.76 and 100,841.44 is: 139,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,468.56 : 226,970.76 = 100,841.44 : x
  2. Step 2: Convert to fraction form
    164,468.56/226,970.76 = 100,841.44/x
  3. Step 3: Cross multiply
    164,468.56x = 226,970.76 × 100,841.44
  4. Step 4: Simplify right side
    164,468.56x = 22,888,058,276.29
  5. Step 5: Solve for x
    x = 22,888,058,276.29/164,468.56
  6. Step 6: Final answer
    x = 139,163.73

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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.