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Finding the Fourth Proportional to 200,465.63, 300,656.12 and 119,448.57

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Solution

The fourth proportional to 200,465.63, 300,656.12 and 119,448.57 is: 179,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,465.63 : 300,656.12 = 119,448.57 : x
  2. Step 2: Convert to fraction form
    200,465.63/300,656.12 = 119,448.57/x
  3. Step 3: Cross multiply
    200,465.63x = 300,656.12 × 119,448.57
  4. Step 4: Simplify right side
    200,465.63x = 35,912,941,757.15
  5. Step 5: Solve for x
    x = 35,912,941,757.15/200,465.63
  6. Step 6: Final answer
    x = 179,147.63

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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.