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Finding the Fourth Proportional to 164,409, 226,886.04 and 88,959.12

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Solution

The fourth proportional to 164,409, 226,886.04 and 88,959.12 is: 122,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,409 : 226,886.04 = 88,959.12 : x
  2. Step 2: Convert to fraction form
    164,409/226,886.04 = 88,959.12/x
  3. Step 3: Cross multiply
    164,409x = 226,886.04 × 88,959.12
  4. Step 4: Simplify right side
    164,409x = 20,183,582,458.68
  5. Step 5: Solve for x
    x = 20,183,582,458.68/164,409
  6. Step 6: Final answer
    x = 122,764.46

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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.