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Finding the Fourth Proportional to 139,827.24, 192,955.68 and 76,165.56

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Solution

The fourth proportional to 139,827.24, 192,955.68 and 76,165.56 is: 105,105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,827.24 : 192,955.68 = 76,165.56 : x
  2. Step 2: Convert to fraction form
    139,827.24/192,955.68 = 76,165.56/x
  3. Step 3: Cross multiply
    139,827.24x = 192,955.68 × 76,165.56
  4. Step 4: Simplify right side
    139,827.24x = 14,696,577,422.38
  5. Step 5: Solve for x
    x = 14,696,577,422.38/139,827.24
  6. Step 6: Final answer
    x = 105,105.25

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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.