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Finding the Fourth Proportional to 97,952.52, 135,174.44 and 58,208.52

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Solution

The fourth proportional to 97,952.52, 135,174.44 and 58,208.52 is: 80,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,952.52 : 135,174.44 = 58,208.52 : x
  2. Step 2: Convert to fraction form
    97,952.52/135,174.44 = 58,208.52/x
  3. Step 3: Cross multiply
    97,952.52x = 135,174.44 × 58,208.52
  4. Step 4: Simplify right side
    97,952.52x = 7,868,304,094.23
  5. Step 5: Solve for x
    x = 7,868,304,094.23/97,952.52
  6. Step 6: Final answer
    x = 80,327.74

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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.