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Finding the Fourth Proportional to 192,093.68, 265,093.52 and 106,052.40

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Solution

The fourth proportional to 192,093.68, 265,093.52 and 106,052.40 is: 146,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,093.68 : 265,093.52 = 106,052.40 : x
  2. Step 2: Convert to fraction form
    192,093.68/265,093.52 = 106,052.40/x
  3. Step 3: Cross multiply
    192,093.68x = 265,093.52 × 106,052.40
  4. Step 4: Simplify right side
    192,093.68x = 28,113,804,020.45
  5. Step 5: Solve for x
    x = 28,113,804,020.45/192,093.68
  6. Step 6: Final answer
    x = 146,354.65

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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.