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Finding the Fourth Proportional to 193,349.88, 290,024.26 and 53,108.64

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Solution

The fourth proportional to 193,349.88, 290,024.26 and 53,108.64 is: 79,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,349.88 : 290,024.26 = 53,108.64 : x
  2. Step 2: Convert to fraction form
    193,349.88/290,024.26 = 53,108.64/x
  3. Step 3: Cross multiply
    193,349.88x = 290,024.26 × 53,108.64
  4. Step 4: Simplify right side
    193,349.88x = 15,402,794,015.61
  5. Step 5: Solve for x
    x = 15,402,794,015.61/193,349.88
  6. Step 6: Final answer
    x = 79,662.81

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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.