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Finding the Fourth Proportional to 144,452.57, 199,303.13 and 83,187.41

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Solution

The fourth proportional to 144,452.57, 199,303.13 and 83,187.41 is: 114,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,452.57 : 199,303.13 = 83,187.41 : x
  2. Step 2: Convert to fraction form
    144,452.57/199,303.13 = 83,187.41/x
  3. Step 3: Cross multiply
    144,452.57x = 199,303.13 × 83,187.41
  4. Step 4: Simplify right side
    144,452.57x = 16,579,510,401.05
  5. Step 5: Solve for x
    x = 16,579,510,401.05/144,452.57
  6. Step 6: Final answer
    x = 114,774.77

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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.