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Finding the Fourth Proportional to 301,211.88, 451,578.06 and 149,302.05

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Solution

The fourth proportional to 301,211.88, 451,578.06 and 149,302.05 is: 223,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,211.88 : 451,578.06 = 149,302.05 : x
  2. Step 2: Convert to fraction form
    301,211.88/451,578.06 = 149,302.05/x
  3. Step 3: Cross multiply
    301,211.88x = 451,578.06 × 149,302.05
  4. Step 4: Simplify right side
    301,211.88x = 67,421,529,346.51
  5. Step 5: Solve for x
    x = 67,421,529,346.51/301,211.88
  6. Step 6: Final answer
    x = 223,834.23

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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.