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Finding the Fourth Proportional to 139,497.64, 192,507.96 and 75,835.48

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Solution

The fourth proportional to 139,497.64, 192,507.96 and 75,835.48 is: 104,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,497.64 : 192,507.96 = 75,835.48 : x
  2. Step 2: Convert to fraction form
    139,497.64/192,507.96 = 75,835.48/x
  3. Step 3: Cross multiply
    139,497.64x = 192,507.96 × 75,835.48
  4. Step 4: Simplify right side
    139,497.64x = 14,598,933,550.42
  5. Step 5: Solve for x
    x = 14,598,933,550.42/139,497.64
  6. Step 6: Final answer
    x = 104,653.62

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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.