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Finding the Fourth Proportional to 301,193.98, 451,502.85 and 111,603.41

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Solution

The fourth proportional to 301,193.98, 451,502.85 and 111,603.41 is: 167,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,193.98 : 451,502.85 = 111,603.41 : x
  2. Step 2: Convert to fraction form
    301,193.98/451,502.85 = 111,603.41/x
  3. Step 3: Cross multiply
    301,193.98x = 451,502.85 × 111,603.41
  4. Step 4: Simplify right side
    301,193.98x = 50,389,256,119.22
  5. Step 5: Solve for x
    x = 50,389,256,119.22/301,193.98
  6. Step 6: Final answer
    x = 167,298.35

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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.