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Finding the Fourth Proportional to 214,885.26, 321,802.88 and 185,491.98

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Solution

The fourth proportional to 214,885.26, 321,802.88 and 185,491.98 is: 277,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,885.26 : 321,802.88 = 185,491.98 : x
  2. Step 2: Convert to fraction form
    214,885.26/321,802.88 = 185,491.98/x
  3. Step 3: Cross multiply
    214,885.26x = 321,802.88 × 185,491.98
  4. Step 4: Simplify right side
    214,885.26x = 59,691,852,453.44
  5. Step 5: Solve for x
    x = 59,691,852,453.44/214,885.26
  6. Step 6: Final answer
    x = 277,784.77

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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.