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Finding the Fourth Proportional to 138,681.68, 208,023.06 and 33,500.48

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Solution

The fourth proportional to 138,681.68, 208,023.06 and 33,500.48 is: 50,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681.68 : 208,023.06 = 33,500.48 : x
  2. Step 2: Convert to fraction form
    138,681.68/208,023.06 = 33,500.48/x
  3. Step 3: Cross multiply
    138,681.68x = 208,023.06 × 33,500.48
  4. Step 4: Simplify right side
    138,681.68x = 6,968,872,361.07
  5. Step 5: Solve for x
    x = 6,968,872,361.07/138,681.68
  6. Step 6: Final answer
    x = 50,250.85

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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.