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Finding the Fourth Proportional to 199,265.40, 298,703.70 and 178,270.20

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Solution

The fourth proportional to 199,265.40, 298,703.70 and 178,270.20 is: 267,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,265.40 : 298,703.70 = 178,270.20 : x
  2. Step 2: Convert to fraction form
    199,265.40/298,703.70 = 178,270.20/x
  3. Step 3: Cross multiply
    199,265.40x = 298,703.70 × 178,270.20
  4. Step 4: Simplify right side
    199,265.40x = 53,249,968,339.74
  5. Step 5: Solve for x
    x = 53,249,968,339.74/199,265.40
  6. Step 6: Final answer
    x = 267,231.38

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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.