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Finding the Fourth Proportional to 97,553.14, 134,462.26 and 65,276.20

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Solution

The fourth proportional to 97,553.14, 134,462.26 and 65,276.20 is: 89,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,553.14 : 134,462.26 = 65,276.20 : x
  2. Step 2: Convert to fraction form
    97,553.14/134,462.26 = 65,276.20/x
  3. Step 3: Cross multiply
    97,553.14x = 134,462.26 × 65,276.20
  4. Step 4: Simplify right side
    97,553.14x = 8,777,185,376.21
  5. Step 5: Solve for x
    x = 8,777,185,376.21/97,553.14
  6. Step 6: Final answer
    x = 89,973.38

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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.