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Finding the Fourth Proportional to 102,534.80, 143,198.80 and 102,534.80

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Solution

The fourth proportional to 102,534.80, 143,198.80 and 102,534.80 is: 143,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.80 : 143,198.80 = 102,534.80 : x
  2. Step 2: Convert to fraction form
    102,534.80/143,198.80 = 102,534.80/x
  3. Step 3: Cross multiply
    102,534.80x = 143,198.80 × 102,534.80
  4. Step 4: Simplify right side
    102,534.80x = 14,682,860,318.24
  5. Step 5: Solve for x
    x = 14,682,860,318.24/102,534.80
  6. Step 6: Final answer
    x = 143,198.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.