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Finding the Fourth Proportional to 105,725.70, 145,825.56 and 65,426.58

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Solution

The fourth proportional to 105,725.70, 145,825.56 and 65,426.58 is: 90,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,725.70 : 145,825.56 = 65,426.58 : x
  2. Step 2: Convert to fraction form
    105,725.70/145,825.56 = 65,426.58/x
  3. Step 3: Cross multiply
    105,725.70x = 145,825.56 × 65,426.58
  4. Step 4: Simplify right side
    105,725.70x = 9,540,867,667.38
  5. Step 5: Solve for x
    x = 9,540,867,667.38/105,725.70
  6. Step 6: Final answer
    x = 90,241.71

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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.