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Finding the Fourth Proportional to 192,478.84, 265,622.52 and 106,443.61

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Solution

The fourth proportional to 192,478.84, 265,622.52 and 106,443.61 is: 146,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,478.84 : 265,622.52 = 106,443.61 : x
  2. Step 2: Convert to fraction form
    192,478.84/265,622.52 = 106,443.61/x
  3. Step 3: Cross multiply
    192,478.84x = 265,622.52 × 106,443.61
  4. Step 4: Simplify right side
    192,478.84x = 28,273,820,590.15
  5. Step 5: Solve for x
    x = 28,273,820,590.15/192,478.84
  6. Step 6: Final answer
    x = 146,893.13

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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.