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Finding the Fourth Proportional to 262,851.50, 362,735.10 and 143,619.50

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Solution

The fourth proportional to 262,851.50, 362,735.10 and 143,619.50 is: 198,194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,851.50 : 362,735.10 = 143,619.50 : x
  2. Step 2: Convert to fraction form
    262,851.50/362,735.10 = 143,619.50/x
  3. Step 3: Cross multiply
    262,851.50x = 362,735.10 × 143,619.50
  4. Step 4: Simplify right side
    262,851.50x = 52,095,833,694.45
  5. Step 5: Solve for x
    x = 52,095,833,694.45/262,851.50
  6. Step 6: Final answer
    x = 198,194.93

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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.