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Finding the Fourth Proportional to 214,735.95, 296,367.93 and 154,505.97

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Solution

The fourth proportional to 214,735.95, 296,367.93 and 154,505.97 is: 213,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,735.95 : 296,367.93 = 154,505.97 : x
  2. Step 2: Convert to fraction form
    214,735.95/296,367.93 = 154,505.97/x
  3. Step 3: Cross multiply
    214,735.95x = 296,367.93 × 154,505.97
  4. Step 4: Simplify right side
    214,735.95x = 45,790,614,501.54
  5. Step 5: Solve for x
    x = 45,790,614,501.54/214,735.95
  6. Step 6: Final answer
    x = 213,241.49

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1.5x scale

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.