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Finding the Fourth Proportional to 294,274.50, 406,100.43 and 160,138.50

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Solution

The fourth proportional to 294,274.50, 406,100.43 and 160,138.50 is: 220,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,274.50 : 406,100.43 = 160,138.50 : x
  2. Step 2: Convert to fraction form
    294,274.50/406,100.43 = 160,138.50/x
  3. Step 3: Cross multiply
    294,274.50x = 406,100.43 × 160,138.50
  4. Step 4: Simplify right side
    294,274.50x = 65,032,313,709.56
  5. Step 5: Solve for x
    x = 65,032,313,709.56/294,274.50
  6. Step 6: Final answer
    x = 220,992.01

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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.