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Finding the Fourth Proportional to 208,156.77, 312,235.97 and 50,384.97

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Solution

The fourth proportional to 208,156.77, 312,235.97 and 50,384.97 is: 75,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.77 : 312,235.97 = 50,384.97 : x
  2. Step 2: Convert to fraction form
    208,156.77/312,235.97 = 50,384.97/x
  3. Step 3: Cross multiply
    208,156.77x = 312,235.97 × 50,384.97
  4. Step 4: Simplify right side
    208,156.77x = 15,731,999,729.45
  5. Step 5: Solve for x
    x = 15,731,999,729.45/208,156.77
  6. Step 6: Final answer
    x = 75,577.65

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1.5x scale

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.