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Finding the Fourth Proportional to 150,377.40, 207,529.52 and 82,394.51

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Solution

The fourth proportional to 150,377.40, 207,529.52 and 82,394.51 is: 113,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,377.40 : 207,529.52 = 82,394.51 : x
  2. Step 2: Convert to fraction form
    150,377.40/207,529.52 = 82,394.51/x
  3. Step 3: Cross multiply
    150,377.40x = 207,529.52 × 82,394.51
  4. Step 4: Simplify right side
    150,377.40x = 17,099,291,661.32
  5. Step 5: Solve for x
    x = 17,099,291,661.32/150,377.40
  6. Step 6: Final answer
    x = 113,709.19

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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.