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Finding the Fourth Proportional to 235,764.36, 325,396.98 and 150,878.52

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Solution

The fourth proportional to 235,764.36, 325,396.98 and 150,878.52 is: 208,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,764.36 : 325,396.98 = 150,878.52 : x
  2. Step 2: Convert to fraction form
    235,764.36/325,396.98 = 150,878.52/x
  3. Step 3: Cross multiply
    235,764.36x = 325,396.98 × 150,878.52
  4. Step 4: Simplify right side
    235,764.36x = 49,095,414,754.87
  5. Step 5: Solve for x
    x = 49,095,414,754.87/235,764.36
  6. Step 6: Final answer
    x = 208,239.34

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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.