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Finding the Fourth Proportional to 351,211.86, 526,799.34 and 98,509.86

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Solution

The fourth proportional to 351,211.86, 526,799.34 and 98,509.86 is: 147,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,211.86 : 526,799.34 = 98,509.86 : x
  2. Step 2: Convert to fraction form
    351,211.86/526,799.34 = 98,509.86/x
  3. Step 3: Cross multiply
    351,211.86x = 526,799.34 × 98,509.86
  4. Step 4: Simplify right side
    351,211.86x = 51,894,929,231.49
  5. Step 5: Solve for x
    x = 51,894,929,231.49/351,211.86
  6. Step 6: Final answer
    x = 147,759.62

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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.