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Finding the Fourth Proportional to 116,523.96, 160,711.97 and 75,701.24

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Solution

The fourth proportional to 116,523.96, 160,711.97 and 75,701.24 is: 104,408.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,523.96 : 160,711.97 = 75,701.24 : x
  2. Step 2: Convert to fraction form
    116,523.96/160,711.97 = 75,701.24/x
  3. Step 3: Cross multiply
    116,523.96x = 160,711.97 × 75,701.24
  4. Step 4: Simplify right side
    116,523.96x = 12,166,095,284.45
  5. Step 5: Solve for x
    x = 12,166,095,284.45/116,523.96
  6. Step 6: Final answer
    x = 104,408.53

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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.