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Finding the Fourth Proportional to 114,696.70, 172,101.40 and 51,561.42

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Solution

The fourth proportional to 114,696.70, 172,101.40 and 51,561.42 is: 77,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696.70 : 172,101.40 = 51,561.42 : x
  2. Step 2: Convert to fraction form
    114,696.70/172,101.40 = 51,561.42/x
  3. Step 3: Cross multiply
    114,696.70x = 172,101.40 × 51,561.42
  4. Step 4: Simplify right side
    114,696.70x = 8,873,792,567.99
  5. Step 5: Solve for x
    x = 8,873,792,567.99/114,696.70
  6. Step 6: Final answer
    x = 77,367.46

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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.