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Finding the Fourth Proportional to 144,689.58, 217,069.88 and 116,861.81

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Solution

The fourth proportional to 144,689.58, 217,069.88 and 116,861.81 is: 175,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,689.58 : 217,069.88 = 116,861.81 : x
  2. Step 2: Convert to fraction form
    144,689.58/217,069.88 = 116,861.81/x
  3. Step 3: Cross multiply
    144,689.58x = 217,069.88 × 116,861.81
  4. Step 4: Simplify right side
    144,689.58x = 25,367,177,403.62
  5. Step 5: Solve for x
    x = 25,367,177,403.62/144,689.58
  6. Step 6: Final answer
    x = 175,321.38

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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.