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Finding the Fourth Proportional to 119,954.17, 180,047.90 and 57,668.41

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Solution

The fourth proportional to 119,954.17, 180,047.90 and 57,668.41 is: 86,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,954.17 : 180,047.90 = 57,668.41 : x
  2. Step 2: Convert to fraction form
    119,954.17/180,047.90 = 57,668.41/x
  3. Step 3: Cross multiply
    119,954.17x = 180,047.90 × 57,668.41
  4. Step 4: Simplify right side
    119,954.17x = 10,383,076,116.84
  5. Step 5: Solve for x
    x = 10,383,076,116.84/119,954.17
  6. Step 6: Final answer
    x = 86,558.69

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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.