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Finding the Fourth Proportional to 192,703.86, 265,938.48 and 107,821.53

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Solution

The fourth proportional to 192,703.86, 265,938.48 and 107,821.53 is: 148,797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,703.86 : 265,938.48 = 107,821.53 : x
  2. Step 2: Convert to fraction form
    192,703.86/265,938.48 = 107,821.53/x
  3. Step 3: Cross multiply
    192,703.86x = 265,938.48 × 107,821.53
  4. Step 4: Simplify right side
    192,703.86x = 28,673,893,799.47
  5. Step 5: Solve for x
    x = 28,673,893,799.47/192,703.86
  6. Step 6: Final answer
    x = 148,797.71

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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.