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Finding the Fourth Proportional to 228,465.60, 342,660.60 and 76,660.80

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Solution

The fourth proportional to 228,465.60, 342,660.60 and 76,660.80 is: 114,978.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,465.60 : 342,660.60 = 76,660.80 : x
  2. Step 2: Convert to fraction form
    228,465.60/342,660.60 = 76,660.80/x
  3. Step 3: Cross multiply
    228,465.60x = 342,660.60 × 76,660.80
  4. Step 4: Simplify right side
    228,465.60x = 26,268,635,724.48
  5. Step 5: Solve for x
    x = 26,268,635,724.48/228,465.60
  6. Step 6: Final answer
    x = 114,978.52

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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.