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Finding the Fourth Proportional to 223,133.56, 307,664.16 and 166,446.52

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Solution

The fourth proportional to 223,133.56, 307,664.16 and 166,446.52 is: 229,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,133.56 : 307,664.16 = 166,446.52 : x
  2. Step 2: Convert to fraction form
    223,133.56/307,664.16 = 166,446.52/x
  3. Step 3: Cross multiply
    223,133.56x = 307,664.16 × 166,446.52
  4. Step 4: Simplify right side
    223,133.56x = 51,209,628,760.72
  5. Step 5: Solve for x
    x = 51,209,628,760.72/223,133.56
  6. Step 6: Final answer
    x = 229,502.14

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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.