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Finding the Fourth Proportional to 104,954.14, 144,839.02 and 57,209.86

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Solution

The fourth proportional to 104,954.14, 144,839.02 and 57,209.86 is: 78,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,954.14 : 144,839.02 = 57,209.86 : x
  2. Step 2: Convert to fraction form
    104,954.14/144,839.02 = 57,209.86/x
  3. Step 3: Cross multiply
    104,954.14x = 144,839.02 × 57,209.86
  4. Step 4: Simplify right side
    104,954.14x = 8,286,220,056.74
  5. Step 5: Solve for x
    x = 8,286,220,056.74/104,954.14
  6. Step 6: Final answer
    x = 78,950.86

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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.