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Finding the Fourth Proportional to 255,093.84, 382,308 and 158,991.36

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Solution

The fourth proportional to 255,093.84, 382,308 and 158,991.36 is: 238,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,093.84 : 382,308 = 158,991.36 : x
  2. Step 2: Convert to fraction form
    255,093.84/382,308 = 158,991.36/x
  3. Step 3: Cross multiply
    255,093.84x = 382,308 × 158,991.36
  4. Step 4: Simplify right side
    255,093.84x = 60,783,668,858.88
  5. Step 5: Solve for x
    x = 60,783,668,858.88/255,093.84
  6. Step 6: Final answer
    x = 238,279.64

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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.