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Finding the Fourth Proportional to 233,622.38, 322,398.88 and 126,192.41

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Solution

The fourth proportional to 233,622.38, 322,398.88 and 126,192.41 is: 174,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,622.38 : 322,398.88 = 126,192.41 : x
  2. Step 2: Convert to fraction form
    233,622.38/322,398.88 = 126,192.41/x
  3. Step 3: Cross multiply
    233,622.38x = 322,398.88 × 126,192.41
  4. Step 4: Simplify right side
    233,622.38x = 40,684,291,648.50
  5. Step 5: Solve for x
    x = 40,684,291,648.50/233,622.38
  6. Step 6: Final answer
    x = 174,145.52

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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.