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Finding the Fourth Proportional to 194,100.42, 291,150.54 and 53,859

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Solution

The fourth proportional to 194,100.42, 291,150.54 and 53,859 is: 80,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,100.42 : 291,150.54 = 53,859 : x
  2. Step 2: Convert to fraction form
    194,100.42/291,150.54 = 53,859/x
  3. Step 3: Cross multiply
    194,100.42x = 291,150.54 × 53,859
  4. Step 4: Simplify right side
    194,100.42x = 15,681,076,933.86
  5. Step 5: Solve for x
    x = 15,681,076,933.86/194,100.42
  6. Step 6: Final answer
    x = 80,788.48

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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.