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Finding the Fourth Proportional to 137,251.16, 205,893.34 and 48,486.50

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Solution

The fourth proportional to 137,251.16, 205,893.34 and 48,486.50 is: 72,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,251.16 : 205,893.34 = 48,486.50 : x
  2. Step 2: Convert to fraction form
    137,251.16/205,893.34 = 48,486.50/x
  3. Step 3: Cross multiply
    137,251.16x = 205,893.34 × 48,486.50
  4. Step 4: Simplify right side
    137,251.16x = 9,983,047,324.06
  5. Step 5: Solve for x
    x = 9,983,047,324.06/137,251.16
  6. Step 6: Final answer
    x = 72,735.61

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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.