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Finding the Fourth Proportional to 208,276.50, 312,415.65 and 50,505.24

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Solution

The fourth proportional to 208,276.50, 312,415.65 and 50,505.24 is: 75,758.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,276.50 : 312,415.65 = 50,505.24 : x
  2. Step 2: Convert to fraction form
    208,276.50/312,415.65 = 50,505.24/x
  3. Step 3: Cross multiply
    208,276.50x = 312,415.65 × 50,505.24
  4. Step 4: Simplify right side
    208,276.50x = 15,778,627,383.01
  5. Step 5: Solve for x
    x = 15,778,627,383.01/208,276.50
  6. Step 6: Final answer
    x = 75,758.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.