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Finding the Fourth Proportional to 137,653.28, 206,460.44 and 44,146.88

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Solution

The fourth proportional to 137,653.28, 206,460.44 and 44,146.88 is: 66,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.28 : 206,460.44 = 44,146.88 : x
  2. Step 2: Convert to fraction form
    137,653.28/206,460.44 = 44,146.88/x
  3. Step 3: Cross multiply
    137,653.28x = 206,460.44 × 44,146.88
  4. Step 4: Simplify right side
    137,653.28x = 9,114,584,269.43
  5. Step 5: Solve for x
    x = 9,114,584,269.43/137,653.28
  6. Step 6: Final answer
    x = 66,214.07

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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.