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Finding the Fourth Proportional to 205,271.10, 307,906.65 and 181,943.10

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Solution

The fourth proportional to 205,271.10, 307,906.65 and 181,943.10 is: 272,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,271.10 : 307,906.65 = 181,943.10 : x
  2. Step 2: Convert to fraction form
    205,271.10/307,906.65 = 181,943.10/x
  3. Step 3: Cross multiply
    205,271.10x = 307,906.65 × 181,943.10
  4. Step 4: Simplify right side
    205,271.10x = 56,021,490,411.62
  5. Step 5: Solve for x
    x = 56,021,490,411.62/205,271.10
  6. Step 6: Final answer
    x = 272,914.65

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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.