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Finding the Fourth Proportional to 273,607.98, 410,234.31 and 113,640

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Solution

The fourth proportional to 273,607.98, 410,234.31 and 113,640 is: 170,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,607.98 : 410,234.31 = 113,640 : x
  2. Step 2: Convert to fraction form
    273,607.98/410,234.31 = 113,640/x
  3. Step 3: Cross multiply
    273,607.98x = 410,234.31 × 113,640
  4. Step 4: Simplify right side
    273,607.98x = 46,619,026,988.40
  5. Step 5: Solve for x
    x = 46,619,026,988.40/273,607.98
  6. Step 6: Final answer
    x = 170,386.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.