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Finding the Fourth Proportional to 114,426, 171,679.32 and 51,240.96

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Solution

The fourth proportional to 114,426, 171,679.32 and 51,240.96 is: 76,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,426 : 171,679.32 = 51,240.96 : x
  2. Step 2: Convert to fraction form
    114,426/171,679.32 = 51,240.96/x
  3. Step 3: Cross multiply
    114,426x = 171,679.32 × 51,240.96
  4. Step 4: Simplify right side
    114,426x = 8,797,013,168.95
  5. Step 5: Solve for x
    x = 8,797,013,168.95/114,426
  6. Step 6: Final answer
    x = 76,879.50

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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.