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Finding the Fourth Proportional to 150,646.44, 207,885.14 and 82,661.76

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Solution

The fourth proportional to 150,646.44, 207,885.14 and 82,661.76 is: 114,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,646.44 : 207,885.14 = 82,661.76 : x
  2. Step 2: Convert to fraction form
    150,646.44/207,885.14 = 82,661.76/x
  3. Step 3: Cross multiply
    150,646.44x = 207,885.14 × 82,661.76
  4. Step 4: Simplify right side
    150,646.44x = 17,184,151,550.25
  5. Step 5: Solve for x
    x = 17,184,151,550.25/150,646.44
  6. Step 6: Final answer
    x = 114,069.42

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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.