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Finding the Fourth Proportional to 192,722.80, 265,964.88 and 107,838.04

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Solution

The fourth proportional to 192,722.80, 265,964.88 and 107,838.04 is: 148,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,722.80 : 265,964.88 = 107,838.04 : x
  2. Step 2: Convert to fraction form
    192,722.80/265,964.88 = 107,838.04/x
  3. Step 3: Cross multiply
    192,722.80x = 265,964.88 × 107,838.04
  4. Step 4: Simplify right side
    192,722.80x = 28,681,131,368.04
  5. Step 5: Solve for x
    x = 28,681,131,368.04/192,722.80
  6. Step 6: Final answer
    x = 148,820.64

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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.