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Finding the Fourth Proportional to 192,711, 265,954.20 and 107,835.96

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Solution

The fourth proportional to 192,711, 265,954.20 and 107,835.96 is: 148,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,711 : 265,954.20 = 107,835.96 : x
  2. Step 2: Convert to fraction form
    192,711/265,954.20 = 107,835.96/x
  3. Step 3: Cross multiply
    192,711x = 265,954.20 × 107,835.96
  4. Step 4: Simplify right side
    192,711x = 28,679,426,473.03
  5. Step 5: Solve for x
    x = 28,679,426,473.03/192,711
  6. Step 6: Final answer
    x = 148,820.91

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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.