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Finding the Fourth Proportional to 262,834.50, 362,711.62 and 143,602.50

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Solution

The fourth proportional to 262,834.50, 362,711.62 and 143,602.50 is: 198,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,834.50 : 362,711.62 = 143,602.50 : x
  2. Step 2: Convert to fraction form
    262,834.50/362,711.62 = 143,602.50/x
  3. Step 3: Cross multiply
    262,834.50x = 362,711.62 × 143,602.50
  4. Step 4: Simplify right side
    262,834.50x = 52,086,295,411.05
  5. Step 5: Solve for x
    x = 52,086,295,411.05/262,834.50
  6. Step 6: Final answer
    x = 198,171.46

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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.