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Finding the Fourth Proportional to 233,769.91, 322,603.95 and 126,339.69

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Solution

The fourth proportional to 233,769.91, 322,603.95 and 126,339.69 is: 174,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,769.91 : 322,603.95 = 126,339.69 : x
  2. Step 2: Convert to fraction form
    233,769.91/322,603.95 = 126,339.69/x
  3. Step 3: Cross multiply
    233,769.91x = 322,603.95 × 126,339.69
  4. Step 4: Simplify right side
    233,769.91x = 40,757,683,035.78
  5. Step 5: Solve for x
    x = 40,757,683,035.78/233,769.91
  6. Step 6: Final answer
    x = 174,349.57

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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.