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Finding the Fourth Proportional to 138,942.60, 191,740.98 and 75,280.38

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Solution

The fourth proportional to 138,942.60, 191,740.98 and 75,280.38 is: 103,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,942.60 : 191,740.98 = 75,280.38 : x
  2. Step 2: Convert to fraction form
    138,942.60/191,740.98 = 75,280.38/x
  3. Step 3: Cross multiply
    138,942.60x = 191,740.98 × 75,280.38
  4. Step 4: Simplify right side
    138,942.60x = 14,434,333,835.97
  5. Step 5: Solve for x
    x = 14,434,333,835.97/138,942.60
  6. Step 6: Final answer
    x = 103,887.03

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Why These Related Problems?

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