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Finding the Fourth Proportional to 291,235.50, 436,222.26 and 141,161.84

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Solution

The fourth proportional to 291,235.50, 436,222.26 and 141,161.84 is: 211,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,235.50 : 436,222.26 = 141,161.84 : x
  2. Step 2: Convert to fraction form
    291,235.50/436,222.26 = 141,161.84/x
  3. Step 3: Cross multiply
    291,235.50x = 436,222.26 × 141,161.84
  4. Step 4: Simplify right side
    291,235.50x = 61,577,936,325.28
  5. Step 5: Solve for x
    x = 61,577,936,325.28/291,235.50
  6. Step 6: Final answer
    x = 211,436.92

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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.