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Finding the Fourth Proportional to 193,878, 290,784.24 and 53,637.12

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Solution

The fourth proportional to 193,878, 290,784.24 and 53,637.12 is: 80,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,878 : 290,784.24 = 53,637.12 : x
  2. Step 2: Convert to fraction form
    193,878/290,784.24 = 53,637.12/x
  3. Step 3: Cross multiply
    193,878x = 290,784.24 × 53,637.12
  4. Step 4: Simplify right side
    193,878x = 15,596,829,174.99
  5. Step 5: Solve for x
    x = 15,596,829,174.99/193,878
  6. Step 6: Final answer
    x = 80,446.62

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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.