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Finding the Fourth Proportional to 122,557.80, 183,836.70 and 102,874.80

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Solution

The fourth proportional to 122,557.80, 183,836.70 and 102,874.80 is: 154,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,557.80 : 183,836.70 = 102,874.80 : x
  2. Step 2: Convert to fraction form
    122,557.80/183,836.70 = 102,874.80/x
  3. Step 3: Cross multiply
    122,557.80x = 183,836.70 × 102,874.80
  4. Step 4: Simplify right side
    122,557.80x = 18,912,163,745.16
  5. Step 5: Solve for x
    x = 18,912,163,745.16/122,557.80
  6. Step 6: Final answer
    x = 154,312.20

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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.