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Finding the Fourth Proportional to 95,293, 142,939.50 and 65,277.64

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Solution

The fourth proportional to 95,293, 142,939.50 and 65,277.64 is: 97,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,293 : 142,939.50 = 65,277.64 : x
  2. Step 2: Convert to fraction form
    95,293/142,939.50 = 65,277.64/x
  3. Step 3: Cross multiply
    95,293x = 142,939.50 × 65,277.64
  4. Step 4: Simplify right side
    95,293x = 9,330,753,222.78
  5. Step 5: Solve for x
    x = 9,330,753,222.78/95,293
  6. Step 6: Final answer
    x = 97,916.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.