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Finding the Fourth Proportional to 251,586, 347,188.68 and 138,406.32

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Solution

The fourth proportional to 251,586, 347,188.68 and 138,406.32 is: 191,000.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,586 : 347,188.68 = 138,406.32 : x
  2. Step 2: Convert to fraction form
    251,586/347,188.68 = 138,406.32/x
  3. Step 3: Cross multiply
    251,586x = 347,188.68 × 138,406.32
  4. Step 4: Simplify right side
    251,586x = 48,053,107,544.46
  5. Step 5: Solve for x
    x = 48,053,107,544.46/251,586
  6. Step 6: Final answer
    x = 191,000.72

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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.