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Finding the Fourth Proportional to 122,276.40, 183,414.60 and 105,363.60

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Solution

The fourth proportional to 122,276.40, 183,414.60 and 105,363.60 is: 158,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,276.40 : 183,414.60 = 105,363.60 : x
  2. Step 2: Convert to fraction form
    122,276.40/183,414.60 = 105,363.60/x
  3. Step 3: Cross multiply
    122,276.40x = 183,414.60 × 105,363.60
  4. Step 4: Simplify right side
    122,276.40x = 19,325,222,548.56
  5. Step 5: Solve for x
    x = 19,325,222,548.56/122,276.40
  6. Step 6: Final answer
    x = 158,045.40

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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.