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Finding the Fourth Proportional to 215,703.20, 323,564.40 and 73,546.40

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Solution

The fourth proportional to 215,703.20, 323,564.40 and 73,546.40 is: 110,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,703.20 : 323,564.40 = 73,546.40 : x
  2. Step 2: Convert to fraction form
    215,703.20/323,564.40 = 73,546.40/x
  3. Step 3: Cross multiply
    215,703.20x = 323,564.40 × 73,546.40
  4. Step 4: Simplify right side
    215,703.20x = 23,796,996,788.16
  5. Step 5: Solve for x
    x = 23,796,996,788.16/215,703.20
  6. Step 6: Final answer
    x = 110,322.87

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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.