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Finding the Fourth Proportional to 208,533.36, 312,800.64 and 50,761.56

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Solution

The fourth proportional to 208,533.36, 312,800.64 and 50,761.56 is: 76,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,533.36 : 312,800.64 = 50,761.56 : x
  2. Step 2: Convert to fraction form
    208,533.36/312,800.64 = 50,761.56/x
  3. Step 3: Cross multiply
    208,533.36x = 312,800.64 × 50,761.56
  4. Step 4: Simplify right side
    208,533.36x = 15,878,248,455.40
  5. Step 5: Solve for x
    x = 15,878,248,455.40/208,533.36
  6. Step 6: Final answer
    x = 76,142.49

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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.