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Finding the Fourth Proportional to 209,507.72, 314,067.18 and 95,569.88

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Solution

The fourth proportional to 209,507.72, 314,067.18 and 95,569.88 is: 143,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,507.72 : 314,067.18 = 95,569.88 : x
  2. Step 2: Convert to fraction form
    209,507.72/314,067.18 = 95,569.88/x
  3. Step 3: Cross multiply
    209,507.72x = 314,067.18 × 95,569.88
  4. Step 4: Simplify right side
    209,507.72x = 30,015,362,704.54
  5. Step 5: Solve for x
    x = 30,015,362,704.54/209,507.72
  6. Step 6: Final answer
    x = 143,266.14

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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.