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Finding the Fourth Proportional to 208,937.66, 313,400.43 and 59,177.66

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Solution

The fourth proportional to 208,937.66, 313,400.43 and 59,177.66 is: 88,764.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,937.66 : 313,400.43 = 59,177.66 : x
  2. Step 2: Convert to fraction form
    208,937.66/313,400.43 = 59,177.66/x
  3. Step 3: Cross multiply
    208,937.66x = 313,400.43 × 59,177.66
  4. Step 4: Simplify right side
    208,937.66x = 18,546,302,523.39
  5. Step 5: Solve for x
    x = 18,546,302,523.39/208,937.66
  6. Step 6: Final answer
    x = 88,764.77

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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.