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Finding the Fourth Proportional to 137,317.63, 205,977.13 and 48,571.22

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Solution

The fourth proportional to 137,317.63, 205,977.13 and 48,571.22 is: 72,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,317.63 : 205,977.13 = 48,571.22 : x
  2. Step 2: Convert to fraction form
    137,317.63/205,977.13 = 48,571.22/x
  3. Step 3: Cross multiply
    137,317.63x = 205,977.13 × 48,571.22
  4. Step 4: Simplify right side
    137,317.63x = 10,004,559,466.31
  5. Step 5: Solve for x
    x = 10,004,559,466.31/137,317.63
  6. Step 6: Final answer
    x = 72,857.06

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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.