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Finding the Fourth Proportional to 170,470.84, 255,734.94 and 52,114.48

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Solution

The fourth proportional to 170,470.84, 255,734.94 and 52,114.48 is: 78,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,470.84 : 255,734.94 = 52,114.48 : x
  2. Step 2: Convert to fraction form
    170,470.84/255,734.94 = 52,114.48/x
  3. Step 3: Cross multiply
    170,470.84x = 255,734.94 × 52,114.48
  4. Step 4: Simplify right side
    170,470.84x = 13,327,493,415.93
  5. Step 5: Solve for x
    x = 13,327,493,415.93/170,470.84
  6. Step 6: Final answer
    x = 78,180.49

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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.