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Finding the Fourth Proportional to 171,351.88, 257,089.32 and 76,574.14

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Solution

The fourth proportional to 171,351.88, 257,089.32 and 76,574.14 is: 114,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,351.88 : 257,089.32 = 76,574.14 : x
  2. Step 2: Convert to fraction form
    171,351.88/257,089.32 = 76,574.14/x
  3. Step 3: Cross multiply
    171,351.88x = 257,089.32 × 76,574.14
  4. Step 4: Simplify right side
    171,351.88x = 19,686,392,939.46
  5. Step 5: Solve for x
    x = 19,686,392,939.46/171,351.88
  6. Step 6: Final answer
    x = 114,888.69

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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.