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Finding the Fourth Proportional to 442,776.30, 664,093.17 and 127,161.42

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Solution

The fourth proportional to 442,776.30, 664,093.17 and 127,161.42 is: 190,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,776.30 : 664,093.17 = 127,161.42 : x
  2. Step 2: Convert to fraction form
    442,776.30/664,093.17 = 127,161.42/x
  3. Step 3: Cross multiply
    442,776.30x = 664,093.17 × 127,161.42
  4. Step 4: Simplify right side
    442,776.30x = 84,447,030,509.50
  5. Step 5: Solve for x
    x = 84,447,030,509.50/442,776.30
  6. Step 6: Final answer
    x = 190,721.66

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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.