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Finding the Fourth Proportional to 208,193, 312,298.14 and 60,449

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Solution

The fourth proportional to 208,193, 312,298.14 and 60,449 is: 90,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,193 : 312,298.14 = 60,449 : x
  2. Step 2: Convert to fraction form
    208,193/312,298.14 = 60,449/x
  3. Step 3: Cross multiply
    208,193x = 312,298.14 × 60,449
  4. Step 4: Simplify right side
    208,193x = 18,878,110,264.86
  5. Step 5: Solve for x
    x = 18,878,110,264.86/208,193
  6. Step 6: Final answer
    x = 90,676.01

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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.