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Finding the Fourth Proportional to 194,076.42, 291,114.54 and 53,835

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Solution

The fourth proportional to 194,076.42, 291,114.54 and 53,835 is: 80,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,076.42 : 291,114.54 = 53,835 : x
  2. Step 2: Convert to fraction form
    194,076.42/291,114.54 = 53,835/x
  3. Step 3: Cross multiply
    194,076.42x = 291,114.54 × 53,835
  4. Step 4: Simplify right side
    194,076.42x = 15,672,151,260.90
  5. Step 5: Solve for x
    x = 15,672,151,260.90/194,076.42
  6. Step 6: Final answer
    x = 80,752.48

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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.