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Finding the Fourth Proportional to 268,420.80, 402,335.96 and 110,563.14

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Solution

The fourth proportional to 268,420.80, 402,335.96 and 110,563.14 is: 165,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,420.80 : 402,335.96 = 110,563.14 : x
  2. Step 2: Convert to fraction form
    268,420.80/402,335.96 = 110,563.14/x
  3. Step 3: Cross multiply
    268,420.80x = 402,335.96 × 110,563.14
  4. Step 4: Simplify right side
    268,420.80x = 44,483,527,072.51
  5. Step 5: Solve for x
    x = 44,483,527,072.51/268,420.80
  6. Step 6: Final answer
    x = 165,723.10

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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.