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Finding the Fourth Proportional to 200,784.40, 300,593.40 and 194,952.40

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Solution

The fourth proportional to 200,784.40, 300,593.40 and 194,952.40 is: 291,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,784.40 : 300,593.40 = 194,952.40 : x
  2. Step 2: Convert to fraction form
    200,784.40/300,593.40 = 194,952.40/x
  3. Step 3: Cross multiply
    200,784.40x = 300,593.40 × 194,952.40
  4. Step 4: Simplify right side
    200,784.40x = 58,601,404,754.16
  5. Step 5: Solve for x
    x = 58,601,404,754.16/200,784.40
  6. Step 6: Final answer
    x = 291,862.34

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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.