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Finding the Fourth Proportional to 189,542, 261,567.96 and 114,105.08

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Solution

The fourth proportional to 189,542, 261,567.96 and 114,105.08 is: 157,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,542 : 261,567.96 = 114,105.08 : x
  2. Step 2: Convert to fraction form
    189,542/261,567.96 = 114,105.08/x
  3. Step 3: Cross multiply
    189,542x = 261,567.96 × 114,105.08
  4. Step 4: Simplify right side
    189,542x = 29,846,233,001.24
  5. Step 5: Solve for x
    x = 29,846,233,001.24/189,542
  6. Step 6: Final answer
    x = 157,465.01

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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.