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Finding the Fourth Proportional to 192,416.31, 265,511.51 and 106,363.71

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Solution

The fourth proportional to 192,416.31, 265,511.51 and 106,363.71 is: 146,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,416.31 : 265,511.51 = 106,363.71 : x
  2. Step 2: Convert to fraction form
    192,416.31/265,511.51 = 106,363.71/x
  3. Step 3: Cross multiply
    192,416.31x = 265,511.51 × 106,363.71
  4. Step 4: Simplify right side
    192,416.31x = 28,240,788,719.48
  5. Step 5: Solve for x
    x = 28,240,788,719.48/192,416.31
  6. Step 6: Final answer
    x = 146,769.20

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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.