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Finding the Fourth Proportional to 211,262.44, 316,933.62 and 84,912.52

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Solution

The fourth proportional to 211,262.44, 316,933.62 and 84,912.52 is: 127,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,262.44 : 316,933.62 = 84,912.52 : x
  2. Step 2: Convert to fraction form
    211,262.44/316,933.62 = 84,912.52/x
  3. Step 3: Cross multiply
    211,262.44x = 316,933.62 × 84,912.52
  4. Step 4: Simplify right side
    211,262.44x = 26,911,632,346.92
  5. Step 5: Solve for x
    x = 26,911,632,346.92/211,262.44
  6. Step 6: Final answer
    x = 127,384.84

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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.