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Finding the Fourth Proportional to 192,000.30, 288,000.45 and 185,549.10

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Solution

The fourth proportional to 192,000.30, 288,000.45 and 185,549.10 is: 278,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,000.30 : 288,000.45 = 185,549.10 : x
  2. Step 2: Convert to fraction form
    192,000.30/288,000.45 = 185,549.10/x
  3. Step 3: Cross multiply
    192,000.30x = 288,000.45 × 185,549.10
  4. Step 4: Simplify right side
    192,000.30x = 53,438,224,297.10
  5. Step 5: Solve for x
    x = 53,438,224,297.10/192,000.30
  6. Step 6: Final answer
    x = 278,323.65

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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.