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Finding the Fourth Proportional to 138,684.39, 191,384.46 and 75,022.23

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Solution

The fourth proportional to 138,684.39, 191,384.46 and 75,022.23 is: 103,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,684.39 : 191,384.46 = 75,022.23 : x
  2. Step 2: Convert to fraction form
    138,684.39/191,384.46 = 75,022.23/x
  3. Step 3: Cross multiply
    138,684.39x = 191,384.46 × 75,022.23
  4. Step 4: Simplify right side
    138,684.39x = 14,358,088,976.55
  5. Step 5: Solve for x
    x = 14,358,088,976.55/138,684.39
  6. Step 6: Final answer
    x = 103,530.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.