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Finding the Fourth Proportional to 164,648.87, 247,009.76 and 52,363.43

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Solution

The fourth proportional to 164,648.87, 247,009.76 and 52,363.43 is: 78,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648.87 : 247,009.76 = 52,363.43 : x
  2. Step 2: Convert to fraction form
    164,648.87/247,009.76 = 52,363.43/x
  3. Step 3: Cross multiply
    164,648.87x = 247,009.76 × 52,363.43
  4. Step 4: Simplify right side
    164,648.87x = 12,934,278,015.26
  5. Step 5: Solve for x
    x = 12,934,278,015.26/164,648.87
  6. Step 6: Final answer
    x = 78,556.74

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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.