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Finding the Fourth Proportional to 122,523.60, 183,639.60 and 51,446.10

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Solution

The fourth proportional to 122,523.60, 183,639.60 and 51,446.10 is: 77,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523.60 : 183,639.60 = 51,446.10 : x
  2. Step 2: Convert to fraction form
    122,523.60/183,639.60 = 51,446.10/x
  3. Step 3: Cross multiply
    122,523.60x = 183,639.60 × 51,446.10
  4. Step 4: Simplify right side
    122,523.60x = 9,447,541,225.56
  5. Step 5: Solve for x
    x = 9,447,541,225.56/122,523.60
  6. Step 6: Final answer
    x = 77,107.93

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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.