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Finding the Fourth Proportional to 186,898.98, 280,240.74 and 127,806.24

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Solution

The fourth proportional to 186,898.98, 280,240.74 and 127,806.24 is: 191,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,898.98 : 280,240.74 = 127,806.24 : x
  2. Step 2: Convert to fraction form
    186,898.98/280,240.74 = 127,806.24/x
  3. Step 3: Cross multiply
    186,898.98x = 280,240.74 × 127,806.24
  4. Step 4: Simplify right side
    186,898.98x = 35,816,515,274.22
  5. Step 5: Solve for x
    x = 35,816,515,274.22/186,898.98
  6. Step 6: Final answer
    x = 191,635.69

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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.