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Finding the Fourth Proportional to 192,076.29, 265,079.94 and 106,051.86

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Solution

The fourth proportional to 192,076.29, 265,079.94 and 106,051.86 is: 146,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,076.29 : 265,079.94 = 106,051.86 : x
  2. Step 2: Convert to fraction form
    192,076.29/265,079.94 = 106,051.86/x
  3. Step 3: Cross multiply
    192,076.29x = 265,079.94 × 106,051.86
  4. Step 4: Simplify right side
    192,076.29x = 28,112,220,685.69
  5. Step 5: Solve for x
    x = 28,112,220,685.69/192,076.29
  6. Step 6: Final answer
    x = 146,359.66

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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.