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Finding the Fourth Proportional to 150,263, 207,362.94 and 83,195

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Solution

The fourth proportional to 150,263, 207,362.94 and 83,195 is: 114,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,263 : 207,362.94 = 83,195 : x
  2. Step 2: Convert to fraction form
    150,263/207,362.94 = 83,195/x
  3. Step 3: Cross multiply
    150,263x = 207,362.94 × 83,195
  4. Step 4: Simplify right side
    150,263x = 17,251,559,793.30
  5. Step 5: Solve for x
    x = 17,251,559,793.30/150,263
  6. Step 6: Final answer
    x = 114,809.10

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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.