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Finding the Fourth Proportional to 272,021.90, 408,032.85 and 205,666.70

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Solution

The fourth proportional to 272,021.90, 408,032.85 and 205,666.70 is: 308,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,021.90 : 408,032.85 = 205,666.70 : x
  2. Step 2: Convert to fraction form
    272,021.90/408,032.85 = 205,666.70/x
  3. Step 3: Cross multiply
    272,021.90x = 408,032.85 × 205,666.70
  4. Step 4: Simplify right side
    272,021.90x = 83,918,769,751.10
  5. Step 5: Solve for x
    x = 83,918,769,751.10/272,021.90
  6. Step 6: Final answer
    x = 308,500.05

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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.