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Finding the Fourth Proportional to 116,161.44, 160,243.70 and 75,898.78

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Solution

The fourth proportional to 116,161.44, 160,243.70 and 75,898.78 is: 104,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,161.44 : 160,243.70 = 75,898.78 : x
  2. Step 2: Convert to fraction form
    116,161.44/160,243.70 = 75,898.78/x
  3. Step 3: Cross multiply
    116,161.44x = 160,243.70 × 75,898.78
  4. Step 4: Simplify right side
    116,161.44x = 12,162,301,332.69
  5. Step 5: Solve for x
    x = 12,162,301,332.69/116,161.44
  6. Step 6: Final answer
    x = 104,701.71

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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.