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Finding the Fourth Proportional to 268,270.40, 402,111.84 and 110,456.48

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Solution

The fourth proportional to 268,270.40, 402,111.84 and 110,456.48 is: 165,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,270.40 : 402,111.84 = 110,456.48 : x
  2. Step 2: Convert to fraction form
    268,270.40/402,111.84 = 110,456.48/x
  3. Step 3: Cross multiply
    268,270.40x = 402,111.84 × 110,456.48
  4. Step 4: Simplify right side
    268,270.40x = 44,415,858,412.72
  5. Step 5: Solve for x
    x = 44,415,858,412.72/268,270.40
  6. Step 6: Final answer
    x = 165,563.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.