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Finding the Fourth Proportional to 200,789.44, 300,988.32 and 95,580.16

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Solution

The fourth proportional to 200,789.44, 300,988.32 and 95,580.16 is: 143,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,789.44 : 300,988.32 = 95,580.16 : x
  2. Step 2: Convert to fraction form
    200,789.44/300,988.32 = 95,580.16/x
  3. Step 3: Cross multiply
    200,789.44x = 300,988.32 × 95,580.16
  4. Step 4: Simplify right side
    200,789.44x = 28,768,511,783.73
  5. Step 5: Solve for x
    x = 28,768,511,783.73/200,789.44
  6. Step 6: Final answer
    x = 143,277.02

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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.