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Finding the Fourth Proportional to 189,793.14, 261,905.48 and 103,756.56

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Solution

The fourth proportional to 189,793.14, 261,905.48 and 103,756.56 is: 143,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,793.14 : 261,905.48 = 103,756.56 : x
  2. Step 2: Convert to fraction form
    189,793.14/261,905.48 = 103,756.56/x
  3. Step 3: Cross multiply
    189,793.14x = 261,905.48 × 103,756.56
  4. Step 4: Simplify right side
    189,793.14x = 27,174,411,131.17
  5. Step 5: Solve for x
    x = 27,174,411,131.17/189,793.14
  6. Step 6: Final answer
    x = 143,179.10

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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.