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Finding the Fourth Proportional to 169,846.80, 254,771.10 and 51,518.25

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Solution

The fourth proportional to 169,846.80, 254,771.10 and 51,518.25 is: 77,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,846.80 : 254,771.10 = 51,518.25 : x
  2. Step 2: Convert to fraction form
    169,846.80/254,771.10 = 51,518.25/x
  3. Step 3: Cross multiply
    169,846.80x = 254,771.10 × 51,518.25
  4. Step 4: Simplify right side
    169,846.80x = 13,125,361,222.58
  5. Step 5: Solve for x
    x = 13,125,361,222.58/169,846.80
  6. Step 6: Final answer
    x = 77,277.65

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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.