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Finding the Fourth Proportional to 233,638.62, 322,421.13 and 126,208.68

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Solution

The fourth proportional to 233,638.62, 322,421.13 and 126,208.68 is: 174,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,638.62 : 322,421.13 = 126,208.68 : x
  2. Step 2: Convert to fraction form
    233,638.62/322,421.13 = 126,208.68/x
  3. Step 3: Cross multiply
    233,638.62x = 322,421.13 × 126,208.68
  4. Step 4: Simplify right side
    233,638.62x = 40,692,345,221.41
  5. Step 5: Solve for x
    x = 40,692,345,221.41/233,638.62
  6. Step 6: Final answer
    x = 174,167.89

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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.