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Finding the Fourth Proportional to 97,285, 134,274.19 and 61,452.22

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Solution

The fourth proportional to 97,285, 134,274.19 and 61,452.22 is: 84,817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,285 : 134,274.19 = 61,452.22 : x
  2. Step 2: Convert to fraction form
    97,285/134,274.19 = 61,452.22/x
  3. Step 3: Cross multiply
    97,285x = 134,274.19 × 61,452.22
  4. Step 4: Simplify right side
    97,285x = 8,251,447,064.20
  5. Step 5: Solve for x
    x = 8,251,447,064.20/97,285
  6. Step 6: Final answer
    x = 84,817.26

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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.