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Finding the Fourth Proportional to 122,073.40, 183,092.55 and 47,228.86

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Solution

The fourth proportional to 122,073.40, 183,092.55 and 47,228.86 is: 70,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,073.40 : 183,092.55 = 47,228.86 : x
  2. Step 2: Convert to fraction form
    122,073.40/183,092.55 = 47,228.86/x
  3. Step 3: Cross multiply
    122,073.40x = 183,092.55 × 47,228.86
  4. Step 4: Simplify right side
    122,073.40x = 8,647,252,410.99
  5. Step 5: Solve for x
    x = 8,647,252,410.99/122,073.40
  6. Step 6: Final answer
    x = 70,836.50

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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.