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Finding the Fourth Proportional to 189,304.26, 261,244.80 and 103,264.70

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Solution

The fourth proportional to 189,304.26, 261,244.80 and 103,264.70 is: 142,507.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,304.26 : 261,244.80 = 103,264.70 : x
  2. Step 2: Convert to fraction form
    189,304.26/261,244.80 = 103,264.70/x
  3. Step 3: Cross multiply
    189,304.26x = 261,244.80 × 103,264.70
  4. Step 4: Simplify right side
    189,304.26x = 26,977,365,898.56
  5. Step 5: Solve for x
    x = 26,977,365,898.56/189,304.26
  6. Step 6: Final answer
    x = 142,507.97

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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.