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Finding the Fourth Proportional to 233,871.74, 322,743.79 and 126,442.54

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Solution

The fourth proportional to 233,871.74, 322,743.79 and 126,442.54 is: 174,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,871.74 : 322,743.79 = 126,442.54 : x
  2. Step 2: Convert to fraction form
    233,871.74/322,743.79 = 126,442.54/x
  3. Step 3: Cross multiply
    233,871.74x = 322,743.79 × 126,442.54
  4. Step 4: Simplify right side
    233,871.74x = 40,808,543,137.75
  5. Step 5: Solve for x
    x = 40,808,543,137.75/233,871.74
  6. Step 6: Final answer
    x = 174,491.12

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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.