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Finding the Fourth Proportional to 144,891.50, 199,951 and 84,504.02

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Solution

The fourth proportional to 144,891.50, 199,951 and 84,504.02 is: 116,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,891.50 : 199,951 = 84,504.02 : x
  2. Step 2: Convert to fraction form
    144,891.50/199,951 = 84,504.02/x
  3. Step 3: Cross multiply
    144,891.50x = 199,951 × 84,504.02
  4. Step 4: Simplify right side
    144,891.50x = 16,896,663,303.02
  5. Step 5: Solve for x
    x = 16,896,663,303.02/144,891.50
  6. Step 6: Final answer
    x = 116,615.97

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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.