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Finding the Fourth Proportional to 137,117.94, 205,673.07 and 43,629.30

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Solution

The fourth proportional to 137,117.94, 205,673.07 and 43,629.30 is: 65,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,117.94 : 205,673.07 = 43,629.30 : x
  2. Step 2: Convert to fraction form
    137,117.94/205,673.07 = 43,629.30/x
  3. Step 3: Cross multiply
    137,117.94x = 205,673.07 × 43,629.30
  4. Step 4: Simplify right side
    137,117.94x = 8,973,372,072.95
  5. Step 5: Solve for x
    x = 8,973,372,072.95/137,117.94
  6. Step 6: Final answer
    x = 65,442.73

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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.