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Finding the Fourth Proportional to 209,899.20, 314,848.80 and 135,249.60

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Solution

The fourth proportional to 209,899.20, 314,848.80 and 135,249.60 is: 202,874.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,899.20 : 314,848.80 = 135,249.60 : x
  2. Step 2: Convert to fraction form
    209,899.20/314,848.80 = 135,249.60/x
  3. Step 3: Cross multiply
    209,899.20x = 314,848.80 × 135,249.60
  4. Step 4: Simplify right side
    209,899.20x = 42,583,174,260.48
  5. Step 5: Solve for x
    x = 42,583,174,260.48/209,899.20
  6. Step 6: Final answer
    x = 202,874.40

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