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Finding the Fourth Proportional to 204,413, 306,619.50 and 56,669

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Solution

The fourth proportional to 204,413, 306,619.50 and 56,669 is: 85,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,413 : 306,619.50 = 56,669 : x
  2. Step 2: Convert to fraction form
    204,413/306,619.50 = 56,669/x
  3. Step 3: Cross multiply
    204,413x = 306,619.50 × 56,669
  4. Step 4: Simplify right side
    204,413x = 17,375,820,445.50
  5. Step 5: Solve for x
    x = 17,375,820,445.50/204,413
  6. Step 6: Final answer
    x = 85,003.50

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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.