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Finding the Fourth Proportional to 121,409.40, 182,049.30 and 51,209.40

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Solution

The fourth proportional to 121,409.40, 182,049.30 and 51,209.40 is: 76,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,409.40 : 182,049.30 = 51,209.40 : x
  2. Step 2: Convert to fraction form
    121,409.40/182,049.30 = 51,209.40/x
  3. Step 3: Cross multiply
    121,409.40x = 182,049.30 × 51,209.40
  4. Step 4: Simplify right side
    121,409.40x = 9,322,635,423.42
  5. Step 5: Solve for x
    x = 9,322,635,423.42/121,409.40
  6. Step 6: Final answer
    x = 76,786.77

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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.