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Finding the Fourth Proportional to 189,403.72, 261,378.65 and 103,363.38

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Solution

The fourth proportional to 189,403.72, 261,378.65 and 103,363.38 is: 142,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,403.72 : 261,378.65 = 103,363.38 : x
  2. Step 2: Convert to fraction form
    189,403.72/261,378.65 = 103,363.38/x
  3. Step 3: Cross multiply
    189,403.72x = 261,378.65 × 103,363.38
  4. Step 4: Simplify right side
    189,403.72x = 27,016,980,982.25
  5. Step 5: Solve for x
    x = 27,016,980,982.25/189,403.72
  6. Step 6: Final answer
    x = 142,642.30

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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.