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Finding the Fourth Proportional to 208,533.60, 312,800.40 and 199,432.80

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Solution

The fourth proportional to 208,533.60, 312,800.40 and 199,432.80 is: 299,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,533.60 : 312,800.40 = 199,432.80 : x
  2. Step 2: Convert to fraction form
    208,533.60/312,800.40 = 199,432.80/x
  3. Step 3: Cross multiply
    208,533.60x = 312,800.40 × 199,432.80
  4. Step 4: Simplify right side
    208,533.60x = 62,382,659,613.12
  5. Step 5: Solve for x
    x = 62,382,659,613.12/208,533.60
  6. Step 6: Final answer
    x = 299,149.20

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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.