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Finding the Fourth Proportional to 164,058.22, 226,421.22 and 92,455.84

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Solution

The fourth proportional to 164,058.22, 226,421.22 and 92,455.84 is: 127,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,058.22 : 226,421.22 = 92,455.84 : x
  2. Step 2: Convert to fraction form
    164,058.22/226,421.22 = 92,455.84/x
  3. Step 3: Cross multiply
    164,058.22x = 226,421.22 × 92,455.84
  4. Step 4: Simplify right side
    164,058.22x = 20,933,964,088.92
  5. Step 5: Solve for x
    x = 20,933,964,088.92/164,058.22
  6. Step 6: Final answer
    x = 127,600.82

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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.