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Finding the Fourth Proportional to 110,426.87, 165,431.32 and 65,313.11

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Solution

The fourth proportional to 110,426.87, 165,431.32 and 65,313.11 is: 97,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,426.87 : 165,431.32 = 65,313.11 : x
  2. Step 2: Convert to fraction form
    110,426.87/165,431.32 = 65,313.11/x
  3. Step 3: Cross multiply
    110,426.87x = 165,431.32 × 65,313.11
  4. Step 4: Simplify right side
    110,426.87x = 10,804,834,000.61
  5. Step 5: Solve for x
    x = 10,804,834,000.61/110,426.87
  6. Step 6: Final answer
    x = 97,846.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.