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Finding the Fourth Proportional to 164,957.57, 247,560.71 and 120,698.49

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Solution

The fourth proportional to 164,957.57, 247,560.71 and 120,698.49 is: 181,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,957.57 : 247,560.71 = 120,698.49 : x
  2. Step 2: Convert to fraction form
    164,957.57/247,560.71 = 120,698.49/x
  3. Step 3: Cross multiply
    164,957.57x = 247,560.71 × 120,698.49
  4. Step 4: Simplify right side
    164,957.57x = 29,880,203,276.84
  5. Step 5: Solve for x
    x = 29,880,203,276.84/164,957.57
  6. Step 6: Final answer
    x = 181,138.73

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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.