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Finding the Fourth Proportional to 117,497.71, 176,246.57 and 71,045.83

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Solution

The fourth proportional to 117,497.71, 176,246.57 and 71,045.83 is: 106,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,497.71 : 176,246.57 = 71,045.83 : x
  2. Step 2: Convert to fraction form
    117,497.71/176,246.57 = 71,045.83/x
  3. Step 3: Cross multiply
    117,497.71x = 176,246.57 × 71,045.83
  4. Step 4: Simplify right side
    117,497.71x = 12,521,583,850.30
  5. Step 5: Solve for x
    x = 12,521,583,850.30/117,497.71
  6. Step 6: Final answer
    x = 106,568.75

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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.