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Finding the Fourth Proportional to 262,859.50, 362,746.14 and 143,627.50

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Solution

The fourth proportional to 262,859.50, 362,746.14 and 143,627.50 is: 198,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,859.50 : 362,746.14 = 143,627.50 : x
  2. Step 2: Convert to fraction form
    262,859.50/362,746.14 = 143,627.50/x
  3. Step 3: Cross multiply
    262,859.50x = 362,746.14 × 143,627.50
  4. Step 4: Simplify right side
    262,859.50x = 52,100,321,222.85
  5. Step 5: Solve for x
    x = 52,100,321,222.85/262,859.50
  6. Step 6: Final answer
    x = 198,205.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.