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Finding the Fourth Proportional to 151,007.70, 226,584.45 and 106,538.70

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Solution

The fourth proportional to 151,007.70, 226,584.45 and 106,538.70 is: 159,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,007.70 : 226,584.45 = 106,538.70 : x
  2. Step 2: Convert to fraction form
    151,007.70/226,584.45 = 106,538.70/x
  3. Step 3: Cross multiply
    151,007.70x = 226,584.45 × 106,538.70
  4. Step 4: Simplify right side
    151,007.70x = 24,140,012,743.22
  5. Step 5: Solve for x
    x = 24,140,012,743.22/151,007.70
  6. Step 6: Final answer
    x = 159,859.48

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1.5x scale

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.