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Finding the Fourth Proportional to 150,292.38, 207,400.95 and 83,222.94

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Solution

The fourth proportional to 150,292.38, 207,400.95 and 83,222.94 is: 114,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,292.38 : 207,400.95 = 83,222.94 : x
  2. Step 2: Convert to fraction form
    150,292.38/207,400.95 = 83,222.94/x
  3. Step 3: Cross multiply
    150,292.38x = 207,400.95 × 83,222.94
  4. Step 4: Simplify right side
    150,292.38x = 17,260,516,817.79
  5. Step 5: Solve for x
    x = 17,260,516,817.79/150,292.38
  6. Step 6: Final answer
    x = 114,846.25

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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.