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Finding the Fourth Proportional to 215,176.80, 322,765.20 and 165,410.40

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Solution

The fourth proportional to 215,176.80, 322,765.20 and 165,410.40 is: 248,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,176.80 : 322,765.20 = 165,410.40 : x
  2. Step 2: Convert to fraction form
    215,176.80/322,765.20 = 165,410.40/x
  3. Step 3: Cross multiply
    215,176.80x = 322,765.20 × 165,410.40
  4. Step 4: Simplify right side
    215,176.80x = 53,388,720,838.08
  5. Step 5: Solve for x
    x = 53,388,720,838.08/215,176.80
  6. Step 6: Final answer
    x = 248,115.60

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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.