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Finding the Fourth Proportional to 144,889.75, 199,948.58 and 84,502.27

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Solution

The fourth proportional to 144,889.75, 199,948.58 and 84,502.27 is: 116,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,889.75 : 199,948.58 = 84,502.27 : x
  2. Step 2: Convert to fraction form
    144,889.75/199,948.58 = 84,502.27/x
  3. Step 3: Cross multiply
    144,889.75x = 199,948.58 × 84,502.27
  4. Step 4: Simplify right side
    144,889.75x = 16,896,108,893.28
  5. Step 5: Solve for x
    x = 16,896,108,893.28/144,889.75
  6. Step 6: Final answer
    x = 116,613.56

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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.