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Finding the Fourth Proportional to 192,663.52, 265,885.68 and 107,782

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Solution

The fourth proportional to 192,663.52, 265,885.68 and 107,782 is: 148,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,663.52 : 265,885.68 = 107,782 : x
  2. Step 2: Convert to fraction form
    192,663.52/265,885.68 = 107,782/x
  3. Step 3: Cross multiply
    192,663.52x = 265,885.68 × 107,782
  4. Step 4: Simplify right side
    192,663.52x = 28,657,690,361.76
  5. Step 5: Solve for x
    x = 28,657,690,361.76/192,663.52
  6. Step 6: Final answer
    x = 148,744.77

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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.