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Finding the Fourth Proportional to 137,303.62, 205,961.19 and 48,557.86

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Solution

The fourth proportional to 137,303.62, 205,961.19 and 48,557.86 is: 72,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,303.62 : 205,961.19 = 48,557.86 : x
  2. Step 2: Convert to fraction form
    137,303.62/205,961.19 = 48,557.86/x
  3. Step 3: Cross multiply
    137,303.62x = 205,961.19 × 48,557.86
  4. Step 4: Simplify right side
    137,303.62x = 10,001,034,629.45
  5. Step 5: Solve for x
    x = 10,001,034,629.45/137,303.62
  6. Step 6: Final answer
    x = 72,838.83

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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.