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Finding the Fourth Proportional to 493,188.76, 739,783.26 and 119,211.72

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Solution

The fourth proportional to 493,188.76, 739,783.26 and 119,211.72 is: 178,817.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,188.76 : 739,783.26 = 119,211.72 : x
  2. Step 2: Convert to fraction form
    493,188.76/739,783.26 = 119,211.72/x
  3. Step 3: Cross multiply
    493,188.76x = 739,783.26 × 119,211.72
  4. Step 4: Simplify right side
    493,188.76x = 88,190,834,851.81
  5. Step 5: Solve for x
    x = 88,190,834,851.81/493,188.76
  6. Step 6: Final answer
    x = 178,817.61

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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.