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Finding the Fourth Proportional to 351,200.85, 526,587.93 and 137,712.98

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Solution

The fourth proportional to 351,200.85, 526,587.93 and 137,712.98 is: 206,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,200.85 : 526,587.93 = 137,712.98 : x
  2. Step 2: Convert to fraction form
    351,200.85/526,587.93 = 137,712.98/x
  3. Step 3: Cross multiply
    351,200.85x = 526,587.93 × 137,712.98
  4. Step 4: Simplify right side
    351,200.85x = 72,517,990,439.39
  5. Step 5: Solve for x
    x = 72,517,990,439.39/351,200.85
  6. Step 6: Final answer
    x = 206,485.81

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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.