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Finding the Fourth Proportional to 351,162.99, 526,759.38 and 137,977.02

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Solution

The fourth proportional to 351,162.99, 526,759.38 and 137,977.02 is: 206,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,162.99 : 526,759.38 = 137,977.02 : x
  2. Step 2: Convert to fraction form
    351,162.99/526,759.38 = 137,977.02/x
  3. Step 3: Cross multiply
    351,162.99x = 526,759.38 × 137,977.02
  4. Step 4: Simplify right side
    351,162.99x = 72,680,689,509.45
  5. Step 5: Solve for x
    x = 72,680,689,509.45/351,162.99
  6. Step 6: Final answer
    x = 206,971.38

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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.