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Finding the Fourth Proportional to 272,737.86, 376,314.84 and 165,284.34

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Solution

The fourth proportional to 272,737.86, 376,314.84 and 165,284.34 is: 228,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,737.86 : 376,314.84 = 165,284.34 : x
  2. Step 2: Convert to fraction form
    272,737.86/376,314.84 = 165,284.34/x
  3. Step 3: Cross multiply
    272,737.86x = 376,314.84 × 165,284.34
  4. Step 4: Simplify right side
    272,737.86x = 62,198,949,961.61
  5. Step 5: Solve for x
    x = 62,198,949,961.61/272,737.86
  6. Step 6: Final answer
    x = 228,053.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.