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Finding the Fourth Proportional to 164,025.50, 226,349.37 and 99,502.11

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Solution

The fourth proportional to 164,025.50, 226,349.37 and 99,502.11 is: 137,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,025.50 : 226,349.37 = 99,502.11 : x
  2. Step 2: Convert to fraction form
    164,025.50/226,349.37 = 99,502.11/x
  3. Step 3: Cross multiply
    164,025.50x = 226,349.37 × 99,502.11
  4. Step 4: Simplify right side
    164,025.50x = 22,522,239,912.17
  5. Step 5: Solve for x
    x = 22,522,239,912.17/164,025.50
  6. Step 6: Final answer
    x = 137,309.39

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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.