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Finding the Fourth Proportional to 205,312.20, 307,709.10 and 181,984.20

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Solution

The fourth proportional to 205,312.20, 307,709.10 and 181,984.20 is: 272,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,312.20 : 307,709.10 = 181,984.20 : x
  2. Step 2: Convert to fraction form
    205,312.20/307,709.10 = 181,984.20/x
  3. Step 3: Cross multiply
    205,312.20x = 307,709.10 × 181,984.20
  4. Step 4: Simplify right side
    205,312.20x = 55,998,194,396.22
  5. Step 5: Solve for x
    x = 55,998,194,396.22/205,312.20
  6. Step 6: Final answer
    x = 272,746.55

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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.