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Finding the Fourth Proportional to 182,322, 251,614.20 and 106,894.80

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Solution

The fourth proportional to 182,322, 251,614.20 and 106,894.80 is: 147,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,322 : 251,614.20 = 106,894.80 : x
  2. Step 2: Convert to fraction form
    182,322/251,614.20 = 106,894.80/x
  3. Step 3: Cross multiply
    182,322x = 251,614.20 × 106,894.80
  4. Step 4: Simplify right side
    182,322x = 26,896,249,586.16
  5. Step 5: Solve for x
    x = 26,896,249,586.16/182,322
  6. Step 6: Final answer
    x = 147,520.59

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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.