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Finding the Fourth Proportional to 205,032.20, 307,548.30 and 192,566.30

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Solution

The fourth proportional to 205,032.20, 307,548.30 and 192,566.30 is: 288,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,032.20 : 307,548.30 = 192,566.30 : x
  2. Step 2: Convert to fraction form
    205,032.20/307,548.30 = 192,566.30/x
  3. Step 3: Cross multiply
    205,032.20x = 307,548.30 × 192,566.30
  4. Step 4: Simplify right side
    205,032.20x = 59,223,438,202.29
  5. Step 5: Solve for x
    x = 59,223,438,202.29/205,032.20
  6. Step 6: Final answer
    x = 288,849.45

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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.