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Finding the Fourth Proportional to 204,358.28, 306,537.54 and 56,614.28

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Solution

The fourth proportional to 204,358.28, 306,537.54 and 56,614.28 is: 84,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,358.28 : 306,537.54 = 56,614.28 : x
  2. Step 2: Convert to fraction form
    204,358.28/306,537.54 = 56,614.28/x
  3. Step 3: Cross multiply
    204,358.28x = 306,537.54 × 56,614.28
  4. Step 4: Simplify right side
    204,358.28x = 17,354,402,120.07
  5. Step 5: Solve for x
    x = 17,354,402,120.07/204,358.28
  6. Step 6: Final answer
    x = 84,921.45

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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.