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Finding the Fourth Proportional to 199,097.80, 298,646.70 and 88,289.80

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Solution

The fourth proportional to 199,097.80, 298,646.70 and 88,289.80 is: 132,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,097.80 : 298,646.70 = 88,289.80 : x
  2. Step 2: Convert to fraction form
    199,097.80/298,646.70 = 88,289.80/x
  3. Step 3: Cross multiply
    199,097.80x = 298,646.70 × 88,289.80
  4. Step 4: Simplify right side
    199,097.80x = 26,367,457,413.66
  5. Step 5: Solve for x
    x = 26,367,457,413.66/199,097.80
  6. Step 6: Final answer
    x = 132,434.70

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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.