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Finding the Fourth Proportional to 168,068, 231,933.84 and 92,616.50

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Solution

The fourth proportional to 168,068, 231,933.84 and 92,616.50 is: 127,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,068 : 231,933.84 = 92,616.50 : x
  2. Step 2: Convert to fraction form
    168,068/231,933.84 = 92,616.50/x
  3. Step 3: Cross multiply
    168,068x = 231,933.84 × 92,616.50
  4. Step 4: Simplify right side
    168,068x = 21,480,900,492.36
  5. Step 5: Solve for x
    x = 21,480,900,492.36/168,068
  6. Step 6: Final answer
    x = 127,810.77

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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.