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Finding the Fourth Proportional to 150,591.12, 207,815.81 and 83,523.12

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Solution

The fourth proportional to 150,591.12, 207,815.81 and 83,523.12 is: 115,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,591.12 : 207,815.81 = 83,523.12 : x
  2. Step 2: Convert to fraction form
    150,591.12/207,815.81 = 83,523.12/x
  3. Step 3: Cross multiply
    150,591.12x = 207,815.81 × 83,523.12
  4. Step 4: Simplify right side
    150,591.12x = 17,357,424,836.53
  5. Step 5: Solve for x
    x = 17,357,424,836.53/150,591.12
  6. Step 6: Final answer
    x = 115,261.94

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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.