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Finding the Fourth Proportional to 199,125.60, 297,824.40 and 178,216.80

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Solution

The fourth proportional to 199,125.60, 297,824.40 and 178,216.80 is: 266,551.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,125.60 : 297,824.40 = 178,216.80 : x
  2. Step 2: Convert to fraction form
    199,125.60/297,824.40 = 178,216.80/x
  3. Step 3: Cross multiply
    199,125.60x = 297,824.40 × 178,216.80
  4. Step 4: Simplify right side
    199,125.60x = 53,077,311,529.92
  5. Step 5: Solve for x
    x = 53,077,311,529.92/199,125.60
  6. Step 6: Final answer
    x = 266,551.92

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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.