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Finding the Fourth Proportional to 174,738, 262,107 and 43,410

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Solution

The fourth proportional to 174,738, 262,107 and 43,410 is: 65,115

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,738 : 262,107 = 43,410 : x
  2. Step 2: Convert to fraction form
    174,738/262,107 = 43,410/x
  3. Step 3: Cross multiply
    174,738x = 262,107 × 43,410
  4. Step 4: Simplify right side
    174,738x = 11,378,064,870
  5. Step 5: Solve for x
    x = 11,378,064,870/174,738
  6. Step 6: Final answer
    x = 65,115

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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.