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Finding the Fourth Proportional to 128,465.60, 192,698.40 and 45,348.80

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Solution

The fourth proportional to 128,465.60, 192,698.40 and 45,348.80 is: 68,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,465.60 : 192,698.40 = 45,348.80 : x
  2. Step 2: Convert to fraction form
    128,465.60/192,698.40 = 45,348.80/x
  3. Step 3: Cross multiply
    128,465.60x = 192,698.40 × 45,348.80
  4. Step 4: Simplify right side
    128,465.60x = 8,738,641,201.92
  5. Step 5: Solve for x
    x = 8,738,641,201.92/128,465.60
  6. Step 6: Final answer
    x = 68,023.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.