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Finding the Fourth Proportional to 233,876.79, 322,749.95 and 126,446.81

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Solution

The fourth proportional to 233,876.79, 322,749.95 and 126,446.81 is: 174,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,876.79 : 322,749.95 = 126,446.81 : x
  2. Step 2: Convert to fraction form
    233,876.79/322,749.95 = 126,446.81/x
  3. Step 3: Cross multiply
    233,876.79x = 322,749.95 × 126,446.81
  4. Step 4: Simplify right side
    233,876.79x = 40,810,699,359.18
  5. Step 5: Solve for x
    x = 40,810,699,359.18/233,876.79
  6. Step 6: Final answer
    x = 174,496.58

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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.