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Finding the Fourth Proportional to 138,707.10, 208,011.46 and 49,936.78

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Solution

The fourth proportional to 138,707.10, 208,011.46 and 49,936.78 is: 74,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,707.10 : 208,011.46 = 49,936.78 : x
  2. Step 2: Convert to fraction form
    138,707.10/208,011.46 = 49,936.78/x
  3. Step 3: Cross multiply
    138,707.10x = 208,011.46 × 49,936.78
  4. Step 4: Simplify right side
    138,707.10x = 10,387,422,515.50
  5. Step 5: Solve for x
    x = 10,387,422,515.50/138,707.10
  6. Step 6: Final answer
    x = 74,887.46

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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.