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Finding the Fourth Proportional to 192,562.61, 265,716.05 and 106,507.91

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Solution

The fourth proportional to 192,562.61, 265,716.05 and 106,507.91 is: 146,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,562.61 : 265,716.05 = 106,507.91 : x
  2. Step 2: Convert to fraction form
    192,562.61/265,716.05 = 106,507.91/x
  3. Step 3: Cross multiply
    192,562.61x = 265,716.05 × 106,507.91
  4. Step 4: Simplify right side
    192,562.61x = 28,300,860,606.42
  5. Step 5: Solve for x
    x = 28,300,860,606.42/192,562.61
  6. Step 6: Final answer
    x = 146,969.66

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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.