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Finding the Fourth Proportional to 204,363, 306,561.78 and 56,619

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Solution

The fourth proportional to 204,363, 306,561.78 and 56,619 is: 84,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,363 : 306,561.78 = 56,619 : x
  2. Step 2: Convert to fraction form
    204,363/306,561.78 = 56,619/x
  3. Step 3: Cross multiply
    204,363x = 306,561.78 × 56,619
  4. Step 4: Simplify right side
    204,363x = 17,357,221,421.82
  5. Step 5: Solve for x
    x = 17,357,221,421.82/204,363
  6. Step 6: Final answer
    x = 84,933.29

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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.