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Finding the Fourth Proportional to 199,097.60, 298,646.40 and 183,891.20

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Solution

The fourth proportional to 199,097.60, 298,646.40 and 183,891.20 is: 275,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,097.60 : 298,646.40 = 183,891.20 : x
  2. Step 2: Convert to fraction form
    199,097.60/298,646.40 = 183,891.20/x
  3. Step 3: Cross multiply
    199,097.60x = 298,646.40 × 183,891.20
  4. Step 4: Simplify right side
    199,097.60x = 54,918,444,871.68
  5. Step 5: Solve for x
    x = 54,918,444,871.68/199,097.60
  6. Step 6: Final answer
    x = 275,836.80

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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.