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Finding the Fourth Proportional to 150,406.95, 207,655.97 and 96,785.15

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Solution

The fourth proportional to 150,406.95, 207,655.97 and 96,785.15 is: 133,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,406.95 : 207,655.97 = 96,785.15 : x
  2. Step 2: Convert to fraction form
    150,406.95/207,655.97 = 96,785.15/x
  3. Step 3: Cross multiply
    150,406.95x = 207,655.97 × 96,785.15
  4. Step 4: Simplify right side
    150,406.95x = 20,098,014,240.06
  5. Step 5: Solve for x
    x = 20,098,014,240.06/150,406.95
  6. Step 6: Final answer
    x = 133,624.24

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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.