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Finding the Fourth Proportional to 122,284.80, 183,427.20 and 100,123.20

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Solution

The fourth proportional to 122,284.80, 183,427.20 and 100,123.20 is: 150,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,284.80 : 183,427.20 = 100,123.20 : x
  2. Step 2: Convert to fraction form
    122,284.80/183,427.20 = 100,123.20/x
  3. Step 3: Cross multiply
    122,284.80x = 183,427.20 × 100,123.20
  4. Step 4: Simplify right side
    122,284.80x = 18,365,318,231.04
  5. Step 5: Solve for x
    x = 18,365,318,231.04/122,284.80
  6. Step 6: Final answer
    x = 150,184.80

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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.