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Finding the Fourth Proportional to 223,878.40, 335,623.20 and 135,037.60

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Solution

The fourth proportional to 223,878.40, 335,623.20 and 135,037.60 is: 202,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,878.40 : 335,623.20 = 135,037.60 : x
  2. Step 2: Convert to fraction form
    223,878.40/335,623.20 = 135,037.60/x
  3. Step 3: Cross multiply
    223,878.40x = 335,623.20 × 135,037.60
  4. Step 4: Simplify right side
    223,878.40x = 45,321,751,432.32
  5. Step 5: Solve for x
    x = 45,321,751,432.32/223,878.40
  6. Step 6: Final answer
    x = 202,439.14

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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.