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Finding the Fourth Proportional to 138,865.37, 208,298.41 and 33,684.17

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Solution

The fourth proportional to 138,865.37, 208,298.41 and 33,684.17 is: 50,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,865.37 : 208,298.41 = 33,684.17 : x
  2. Step 2: Convert to fraction form
    138,865.37/208,298.41 = 33,684.17/x
  3. Step 3: Cross multiply
    138,865.37x = 208,298.41 × 33,684.17
  4. Step 4: Simplify right side
    138,865.37x = 7,016,357,927.47
  5. Step 5: Solve for x
    x = 7,016,357,927.47/138,865.37
  6. Step 6: Final answer
    x = 50,526.33

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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.