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Finding the Fourth Proportional to 247,820.25, 371,917.32 and 114,793.84

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Solution

The fourth proportional to 247,820.25, 371,917.32 and 114,793.84 is: 172,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,820.25 : 371,917.32 = 114,793.84 : x
  2. Step 2: Convert to fraction form
    247,820.25/371,917.32 = 114,793.84/x
  3. Step 3: Cross multiply
    247,820.25x = 371,917.32 × 114,793.84
  4. Step 4: Simplify right side
    247,820.25x = 42,693,817,325.31
  5. Step 5: Solve for x
    x = 42,693,817,325.31/247,820.25
  6. Step 6: Final answer
    x = 172,277.36

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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.