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Finding the Fourth Proportional to 97,276.38, 134,241.84 and 56,997.30

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Solution

The fourth proportional to 97,276.38, 134,241.84 and 56,997.30 is: 78,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,276.38 : 134,241.84 = 56,997.30 : x
  2. Step 2: Convert to fraction form
    97,276.38/134,241.84 = 56,997.30/x
  3. Step 3: Cross multiply
    97,276.38x = 134,241.84 × 56,997.30
  4. Step 4: Simplify right side
    97,276.38x = 7,651,422,427.03
  5. Step 5: Solve for x
    x = 7,651,422,427.03/97,276.38
  6. Step 6: Final answer
    x = 78,656.53

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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.