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Finding the Fourth Proportional to 171,821.15, 257,628.14 and 77,034.19

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Solution

The fourth proportional to 171,821.15, 257,628.14 and 77,034.19 is: 115,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,821.15 : 257,628.14 = 77,034.19 : x
  2. Step 2: Convert to fraction form
    171,821.15/257,628.14 = 77,034.19/x
  3. Step 3: Cross multiply
    171,821.15x = 257,628.14 × 77,034.19
  4. Step 4: Simplify right side
    171,821.15x = 19,846,175,262.11
  5. Step 5: Solve for x
    x = 19,846,175,262.11/171,821.15
  6. Step 6: Final answer
    x = 115,504.85

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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.