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Finding the Fourth Proportional to 192,275.29, 265,338.34 and 106,234

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Solution

The fourth proportional to 192,275.29, 265,338.34 and 106,234 is: 146,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,275.29 : 265,338.34 = 106,234 : x
  2. Step 2: Convert to fraction form
    192,275.29/265,338.34 = 106,234/x
  3. Step 3: Cross multiply
    192,275.29x = 265,338.34 × 106,234
  4. Step 4: Simplify right side
    192,275.29x = 28,187,953,211.56
  5. Step 5: Solve for x
    x = 28,187,953,211.56/192,275.29
  6. Step 6: Final answer
    x = 146,602.06

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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.