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Finding the Fourth Proportional to 199,139.60, 297,845.40 and 178,230.80

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Solution

The fourth proportional to 199,139.60, 297,845.40 and 178,230.80 is: 266,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,139.60 : 297,845.40 = 178,230.80 : x
  2. Step 2: Convert to fraction form
    199,139.60/297,845.40 = 178,230.80/x
  3. Step 3: Cross multiply
    199,139.60x = 297,845.40 × 178,230.80
  4. Step 4: Simplify right side
    199,139.60x = 53,085,223,918.32
  5. Step 5: Solve for x
    x = 53,085,223,918.32/199,139.60
  6. Step 6: Final answer
    x = 266,572.92

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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.