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Finding the Fourth Proportional to 190,894.64, 263,468.88 and 110,311

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Solution

The fourth proportional to 190,894.64, 263,468.88 and 110,311 is: 152,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,894.64 : 263,468.88 = 110,311 : x
  2. Step 2: Convert to fraction form
    190,894.64/263,468.88 = 110,311/x
  3. Step 3: Cross multiply
    190,894.64x = 263,468.88 × 110,311
  4. Step 4: Simplify right side
    190,894.64x = 29,063,515,621.68
  5. Step 5: Solve for x
    x = 29,063,515,621.68/190,894.64
  6. Step 6: Final answer
    x = 152,248.99

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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.