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Finding the Fourth Proportional to 192,113.60, 265,120.94 and 106,072.29

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Solution

The fourth proportional to 192,113.60, 265,120.94 and 106,072.29 is: 146,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,113.60 : 265,120.94 = 106,072.29 : x
  2. Step 2: Convert to fraction form
    192,113.60/265,120.94 = 106,072.29/x
  3. Step 3: Cross multiply
    192,113.60x = 265,120.94 × 106,072.29
  4. Step 4: Simplify right side
    192,113.60x = 28,121,984,702.39
  5. Step 5: Solve for x
    x = 28,121,984,702.39/192,113.60
  6. Step 6: Final answer
    x = 146,382.06

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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.