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Finding the Fourth Proportional to 138,986.64, 191,801.64 and 75,324.60

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Solution

The fourth proportional to 138,986.64, 191,801.64 and 75,324.60 is: 103,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,986.64 : 191,801.64 = 75,324.60 : x
  2. Step 2: Convert to fraction form
    138,986.64/191,801.64 = 75,324.60/x
  3. Step 3: Cross multiply
    138,986.64x = 191,801.64 × 75,324.60
  4. Step 4: Simplify right side
    138,986.64x = 14,447,381,812.34
  5. Step 5: Solve for x
    x = 14,447,381,812.34/138,986.64
  6. Step 6: Final answer
    x = 103,947.99

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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.