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Finding the Fourth Proportional to 193,782.53, 290,679.47 and 53,541.29

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Solution

The fourth proportional to 193,782.53, 290,679.47 and 53,541.29 is: 80,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,782.53 : 290,679.47 = 53,541.29 : x
  2. Step 2: Convert to fraction form
    193,782.53/290,679.47 = 53,541.29/x
  3. Step 3: Cross multiply
    193,782.53x = 290,679.47 × 53,541.29
  4. Step 4: Simplify right side
    193,782.53x = 15,563,352,079.21
  5. Step 5: Solve for x
    x = 15,563,352,079.21/193,782.53
  6. Step 6: Final answer
    x = 80,313.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.