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Finding the Fourth Proportional to 150,330, 207,462 and 83,262

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Solution

The fourth proportional to 150,330, 207,462 and 83,262 is: 114,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,330 : 207,462 = 83,262 : x
  2. Step 2: Convert to fraction form
    150,330/207,462 = 83,262/x
  3. Step 3: Cross multiply
    150,330x = 207,462 × 83,262
  4. Step 4: Simplify right side
    150,330x = 17,273,701,044
  5. Step 5: Solve for x
    x = 17,273,701,044/150,330
  6. Step 6: Final answer
    x = 114,905.22

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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.