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Finding the Fourth Proportional to 205,045.48, 307,666.50 and 111,551.08

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Solution

The fourth proportional to 205,045.48, 307,666.50 and 111,551.08 is: 167,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,045.48 : 307,666.50 = 111,551.08 : x
  2. Step 2: Convert to fraction form
    205,045.48/307,666.50 = 111,551.08/x
  3. Step 3: Cross multiply
    205,045.48x = 307,666.50 × 111,551.08
  4. Step 4: Simplify right side
    205,045.48x = 34,320,530,354.82
  5. Step 5: Solve for x
    x = 34,320,530,354.82/205,045.48
  6. Step 6: Final answer
    x = 167,380.09

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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.