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Finding the Fourth Proportional to 154,378, 231,567 and 37,642

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Solution

The fourth proportional to 154,378, 231,567 and 37,642 is: 56,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,378 : 231,567 = 37,642 : x
  2. Step 2: Convert to fraction form
    154,378/231,567 = 37,642/x
  3. Step 3: Cross multiply
    154,378x = 231,567 × 37,642
  4. Step 4: Simplify right side
    154,378x = 8,716,645,014
  5. Step 5: Solve for x
    x = 8,716,645,014/154,378
  6. Step 6: Final answer
    x = 56,463

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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.