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Finding the Fourth Proportional to 116,165.70, 160,249.56 and 75,903

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Solution

The fourth proportional to 116,165.70, 160,249.56 and 75,903 is: 104,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,165.70 : 160,249.56 = 75,903 : x
  2. Step 2: Convert to fraction form
    116,165.70/160,249.56 = 75,903/x
  3. Step 3: Cross multiply
    116,165.70x = 160,249.56 × 75,903
  4. Step 4: Simplify right side
    116,165.70x = 12,163,422,352.68
  5. Step 5: Solve for x
    x = 12,163,422,352.68/116,165.70
  6. Step 6: Final answer
    x = 104,707.52

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1.5x scale

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.