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Finding the Fourth Proportional to 189,851.98, 261,996.18 and 103,816.54

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Solution

The fourth proportional to 189,851.98, 261,996.18 and 103,816.54 is: 143,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,851.98 : 261,996.18 = 103,816.54 : x
  2. Step 2: Convert to fraction form
    189,851.98/261,996.18 = 103,816.54/x
  3. Step 3: Cross multiply
    189,851.98x = 261,996.18 × 103,816.54
  4. Step 4: Simplify right side
    189,851.98x = 27,199,536,900.82
  5. Step 5: Solve for x
    x = 27,199,536,900.82/189,851.98
  6. Step 6: Final answer
    x = 143,267.07

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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.