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Finding the Fourth Proportional to 137,342.44, 206,106 and 48,595.60

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Solution

The fourth proportional to 137,342.44, 206,106 and 48,595.60 is: 72,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,342.44 : 206,106 = 48,595.60 : x
  2. Step 2: Convert to fraction form
    137,342.44/206,106 = 48,595.60/x
  3. Step 3: Cross multiply
    137,342.44x = 206,106 × 48,595.60
  4. Step 4: Simplify right side
    137,342.44x = 10,015,844,733.60
  5. Step 5: Solve for x
    x = 10,015,844,733.60/137,342.44
  6. Step 6: Final answer
    x = 72,926.07

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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.