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Finding the Fourth Proportional to 217,541.22, 299,647.53 and 153,769.38

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Solution

The fourth proportional to 217,541.22, 299,647.53 and 153,769.38 is: 211,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,541.22 : 299,647.53 = 153,769.38 : x
  2. Step 2: Convert to fraction form
    217,541.22/299,647.53 = 153,769.38/x
  3. Step 3: Cross multiply
    217,541.22x = 299,647.53 × 153,769.38
  4. Step 4: Simplify right side
    217,541.22x = 46,076,614,906.63
  5. Step 5: Solve for x
    x = 46,076,614,906.63/217,541.22
  6. Step 6: Final answer
    x = 211,806.36

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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.