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Finding the Fourth Proportional to 137,071.64, 205,605.30 and 43,576.04

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Solution

The fourth proportional to 137,071.64, 205,605.30 and 43,576.04 is: 65,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,071.64 : 205,605.30 = 43,576.04 : x
  2. Step 2: Convert to fraction form
    137,071.64/205,605.30 = 43,576.04/x
  3. Step 3: Cross multiply
    137,071.64x = 205,605.30 × 43,576.04
  4. Step 4: Simplify right side
    137,071.64x = 8,959,464,777.01
  5. Step 5: Solve for x
    x = 8,959,464,777.01/137,071.64
  6. Step 6: Final answer
    x = 65,363.37

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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.