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Finding the Fourth Proportional to 177,410.61, 266,121.99 and 57,464.64

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Solution

The fourth proportional to 177,410.61, 266,121.99 and 57,464.64 is: 86,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,410.61 : 266,121.99 = 57,464.64 : x
  2. Step 2: Convert to fraction form
    177,410.61/266,121.99 = 57,464.64/x
  3. Step 3: Cross multiply
    177,410.61x = 266,121.99 × 57,464.64
  4. Step 4: Simplify right side
    177,410.61x = 15,292,604,351.43
  5. Step 5: Solve for x
    x = 15,292,604,351.43/177,410.61
  6. Step 6: Final answer
    x = 86,198.93

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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.