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Finding the Fourth Proportional to 233,674.74, 322,470.74 and 126,244.44

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Solution

The fourth proportional to 233,674.74, 322,470.74 and 126,244.44 is: 174,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,674.74 : 322,470.74 = 126,244.44 : x
  2. Step 2: Convert to fraction form
    233,674.74/322,470.74 = 126,244.44/x
  3. Step 3: Cross multiply
    233,674.74x = 322,470.74 × 126,244.44
  4. Step 4: Simplify right side
    233,674.74x = 40,710,137,987.69
  5. Step 5: Solve for x
    x = 40,710,137,987.69/233,674.74
  6. Step 6: Final answer
    x = 174,217.11

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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.