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Finding the Fourth Proportional to 150,819.65, 208,133.63 and 82,842.91

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Solution

The fourth proportional to 150,819.65, 208,133.63 and 82,842.91 is: 114,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,819.65 : 208,133.63 = 82,842.91 : x
  2. Step 2: Convert to fraction form
    150,819.65/208,133.63 = 82,842.91/x
  3. Step 3: Cross multiply
    150,819.65x = 208,133.63 × 82,842.91
  4. Step 4: Simplify right side
    150,819.65x = 17,242,395,578.06
  5. Step 5: Solve for x
    x = 17,242,395,578.06/150,819.65
  6. Step 6: Final answer
    x = 114,324.60

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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.