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Finding the Fourth Proportional to 208,277.34, 312,415.92 and 50,505.77

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Solution

The fourth proportional to 208,277.34, 312,415.92 and 50,505.77 is: 75,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,277.34 : 312,415.92 = 50,505.77 : x
  2. Step 2: Convert to fraction form
    208,277.34/312,415.92 = 50,505.77/x
  3. Step 3: Cross multiply
    208,277.34x = 312,415.92 × 50,505.77
  4. Step 4: Simplify right side
    208,277.34x = 15,778,805,037.78
  5. Step 5: Solve for x
    x = 15,778,805,037.78/208,277.34
  6. Step 6: Final answer
    x = 75,758.63

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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.