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Finding the Fourth Proportional to 204,022.50, 306,051.03 and 56,278.50

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Solution

The fourth proportional to 204,022.50, 306,051.03 and 56,278.50 is: 84,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022.50 : 306,051.03 = 56,278.50 : x
  2. Step 2: Convert to fraction form
    204,022.50/306,051.03 = 56,278.50/x
  3. Step 3: Cross multiply
    204,022.50x = 306,051.03 × 56,278.50
  4. Step 4: Simplify right side
    204,022.50x = 17,224,092,891.86
  5. Step 5: Solve for x
    x = 17,224,092,891.86/204,022.50
  6. Step 6: Final answer
    x = 84,422.52

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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.