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Finding the Fourth Proportional to 138,714.93, 208,072.94 and 33,533.73

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Solution

The fourth proportional to 138,714.93, 208,072.94 and 33,533.73 is: 50,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,714.93 : 208,072.94 = 33,533.73 : x
  2. Step 2: Convert to fraction form
    138,714.93/208,072.94 = 33,533.73/x
  3. Step 3: Cross multiply
    138,714.93x = 208,072.94 × 33,533.73
  4. Step 4: Simplify right side
    138,714.93x = 6,977,461,622.60
  5. Step 5: Solve for x
    x = 6,977,461,622.60/138,714.93
  6. Step 6: Final answer
    x = 50,300.73

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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.