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Finding the Fourth Proportional to 117,725.77, 176,584.71 and 51,165.90

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Solution

The fourth proportional to 117,725.77, 176,584.71 and 51,165.90 is: 76,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,725.77 : 176,584.71 = 51,165.90 : x
  2. Step 2: Convert to fraction form
    117,725.77/176,584.71 = 51,165.90/x
  3. Step 3: Cross multiply
    117,725.77x = 176,584.71 × 51,165.90
  4. Step 4: Simplify right side
    117,725.77x = 9,035,114,474.64
  5. Step 5: Solve for x
    x = 9,035,114,474.64/117,725.77
  6. Step 6: Final answer
    x = 76,747.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.