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Finding the Fourth Proportional to 164,261.50, 226,599.36 and 106,098.22

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Solution

The fourth proportional to 164,261.50, 226,599.36 and 106,098.22 is: 146,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,261.50 : 226,599.36 = 106,098.22 : x
  2. Step 2: Convert to fraction form
    164,261.50/226,599.36 = 106,098.22/x
  3. Step 3: Cross multiply
    164,261.50x = 226,599.36 × 106,098.22
  4. Step 4: Simplify right side
    164,261.50x = 24,041,788,749.14
  5. Step 5: Solve for x
    x = 24,041,788,749.14/164,261.50
  6. Step 6: Final answer
    x = 146,362.90

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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.