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Finding the Fourth Proportional to 200,894.40, 301,687.20 and 142,142.40

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Solution

The fourth proportional to 200,894.40, 301,687.20 and 142,142.40 is: 213,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.40 : 301,687.20 = 142,142.40 : x
  2. Step 2: Convert to fraction form
    200,894.40/301,687.20 = 142,142.40/x
  3. Step 3: Cross multiply
    200,894.40x = 301,687.20 × 142,142.40
  4. Step 4: Simplify right side
    200,894.40x = 42,882,542,657.28
  5. Step 5: Solve for x
    x = 42,882,542,657.28/200,894.40
  6. Step 6: Final answer
    x = 213,458.13

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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.