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Finding the Fourth Proportional to 268,053.40, 402,080.10 and 110,200.60

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Solution

The fourth proportional to 268,053.40, 402,080.10 and 110,200.60 is: 165,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,053.40 : 402,080.10 = 110,200.60 : x
  2. Step 2: Convert to fraction form
    268,053.40/402,080.10 = 110,200.60/x
  3. Step 3: Cross multiply
    268,053.40x = 402,080.10 × 110,200.60
  4. Step 4: Simplify right side
    268,053.40x = 44,309,468,268.06
  5. Step 5: Solve for x
    x = 44,309,468,268.06/268,053.40
  6. Step 6: Final answer
    x = 165,300.90

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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.