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Finding the Fourth Proportional to 192,113.73, 265,131.50 and 106,089.10

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Solution

The fourth proportional to 192,113.73, 265,131.50 and 106,089.10 is: 146,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,113.73 : 265,131.50 = 106,089.10 : x
  2. Step 2: Convert to fraction form
    192,113.73/265,131.50 = 106,089.10/x
  3. Step 3: Cross multiply
    192,113.73x = 265,131.50 × 106,089.10
  4. Step 4: Simplify right side
    192,113.73x = 28,127,561,023.38
  5. Step 5: Solve for x
    x = 28,127,561,023.38/192,113.73
  6. Step 6: Final answer
    x = 146,410.99

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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.