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Finding the Fourth Proportional to 144,886.50, 199,944.09 and 84,499.02

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Solution

The fourth proportional to 144,886.50, 199,944.09 and 84,499.02 is: 116,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,886.50 : 199,944.09 = 84,499.02 : x
  2. Step 2: Convert to fraction form
    144,886.50/199,944.09 = 84,499.02/x
  3. Step 3: Cross multiply
    144,886.50x = 199,944.09 × 84,499.02
  4. Step 4: Simplify right side
    144,886.50x = 16,895,079,659.79
  5. Step 5: Solve for x
    x = 16,895,079,659.79/144,886.50
  6. Step 6: Final answer
    x = 116,609.07

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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.