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Finding the Fourth Proportional to 102,904.60, 154,356.90 and 50,416.60

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Solution

The fourth proportional to 102,904.60, 154,356.90 and 50,416.60 is: 75,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,904.60 : 154,356.90 = 50,416.60 : x
  2. Step 2: Convert to fraction form
    102,904.60/154,356.90 = 50,416.60/x
  3. Step 3: Cross multiply
    102,904.60x = 154,356.90 × 50,416.60
  4. Step 4: Simplify right side
    102,904.60x = 7,782,150,084.54
  5. Step 5: Solve for x
    x = 7,782,150,084.54/102,904.60
  6. Step 6: Final answer
    x = 75,624.90

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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.