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Finding the Fourth Proportional to 97,201, 134,137.38 and 52,489

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Solution

The fourth proportional to 97,201, 134,137.38 and 52,489 is: 72,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,201 : 134,137.38 = 52,489 : x
  2. Step 2: Convert to fraction form
    97,201/134,137.38 = 52,489/x
  3. Step 3: Cross multiply
    97,201x = 134,137.38 × 52,489
  4. Step 4: Simplify right side
    97,201x = 7,040,736,938.82
  5. Step 5: Solve for x
    x = 7,040,736,938.82/97,201
  6. Step 6: Final answer
    x = 72,434.82

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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.