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Finding the Fourth Proportional to 150,160, 207,227.28 and 83,092

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Solution

The fourth proportional to 150,160, 207,227.28 and 83,092 is: 114,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,160 : 207,227.28 = 83,092 : x
  2. Step 2: Convert to fraction form
    150,160/207,227.28 = 83,092/x
  3. Step 3: Cross multiply
    150,160x = 207,227.28 × 83,092
  4. Step 4: Simplify right side
    150,160x = 17,218,929,149.76
  5. Step 5: Solve for x
    x = 17,218,929,149.76/150,160
  6. Step 6: Final answer
    x = 114,670.55

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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.