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Finding the Fourth Proportional to 251,061, 346,494.90 and 145,077

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Solution

The fourth proportional to 251,061, 346,494.90 and 145,077 is: 200,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,061 : 346,494.90 = 145,077 : x
  2. Step 2: Convert to fraction form
    251,061/346,494.90 = 145,077/x
  3. Step 3: Cross multiply
    251,061x = 346,494.90 × 145,077
  4. Step 4: Simplify right side
    251,061x = 50,268,440,607.30
  5. Step 5: Solve for x
    x = 50,268,440,607.30/251,061
  6. Step 6: Final answer
    x = 200,224.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.