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Finding the Fourth Proportional to 281,080.80, 420,746.40 and 162,399.60

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Solution

The fourth proportional to 281,080.80, 420,746.40 and 162,399.60 is: 243,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,080.80 : 420,746.40 = 162,399.60 : x
  2. Step 2: Convert to fraction form
    281,080.80/420,746.40 = 162,399.60/x
  3. Step 3: Cross multiply
    281,080.80x = 420,746.40 × 162,399.60
  4. Step 4: Simplify right side
    281,080.80x = 68,329,047,061.44
  5. Step 5: Solve for x
    x = 68,329,047,061.44/281,080.80
  6. Step 6: Final answer
    x = 243,093.97

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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.