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Finding the Fourth Proportional to 233,978.81, 322,890.72 and 126,548.81

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Solution

The fourth proportional to 233,978.81, 322,890.72 and 126,548.81 is: 174,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,978.81 : 322,890.72 = 126,548.81 : x
  2. Step 2: Convert to fraction form
    233,978.81/322,890.72 = 126,548.81/x
  3. Step 3: Cross multiply
    233,978.81x = 322,890.72 × 126,548.81
  4. Step 4: Simplify right side
    233,978.81x = 40,861,435,497.87
  5. Step 5: Solve for x
    x = 40,861,435,497.87/233,978.81
  6. Step 6: Final answer
    x = 174,637.34

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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.