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Finding the Fourth Proportional to 192,108.81, 265,112.90 and 107,225.88

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Solution

The fourth proportional to 192,108.81, 265,112.90 and 107,225.88 is: 147,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,108.81 : 265,112.90 = 107,225.88 : x
  2. Step 2: Convert to fraction form
    192,108.81/265,112.90 = 107,225.88/x
  3. Step 3: Cross multiply
    192,108.81x = 265,112.90 × 107,225.88
  4. Step 4: Simplify right side
    192,108.81x = 28,426,964,001.85
  5. Step 5: Solve for x
    x = 28,426,964,001.85/192,108.81
  6. Step 6: Final answer
    x = 147,973.24

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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.