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Finding the Fourth Proportional to 189,328.34, 261,268.89 and 104,445.38

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Solution

The fourth proportional to 189,328.34, 261,268.89 and 104,445.38 is: 144,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,328.34 : 261,268.89 = 104,445.38 : x
  2. Step 2: Convert to fraction form
    189,328.34/261,268.89 = 104,445.38/x
  3. Step 3: Cross multiply
    189,328.34x = 261,268.89 × 104,445.38
  4. Step 4: Simplify right side
    189,328.34x = 27,288,327,191.88
  5. Step 5: Solve for x
    x = 27,288,327,191.88/189,328.34
  6. Step 6: Final answer
    x = 144,132.29

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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.