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Finding the Fourth Proportional to 164,216.97, 226,507.59 and 100,586.61

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Solution

The fourth proportional to 164,216.97, 226,507.59 and 100,586.61 is: 138,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,216.97 : 226,507.59 = 100,586.61 : x
  2. Step 2: Convert to fraction form
    164,216.97/226,507.59 = 100,586.61/x
  3. Step 3: Cross multiply
    164,216.97x = 226,507.59 × 100,586.61
  4. Step 4: Simplify right side
    164,216.97x = 22,783,630,617.37
  5. Step 5: Solve for x
    x = 22,783,630,617.37/164,216.97
  6. Step 6: Final answer
    x = 138,741.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.