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Finding the Fourth Proportional to 257,030.84, 354,660.38 and 161,469.88

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Solution

The fourth proportional to 257,030.84, 354,660.38 and 161,469.88 is: 222,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,030.84 : 354,660.38 = 161,469.88 : x
  2. Step 2: Convert to fraction form
    257,030.84/354,660.38 = 161,469.88/x
  3. Step 3: Cross multiply
    257,030.84x = 354,660.38 × 161,469.88
  4. Step 4: Simplify right side
    257,030.84x = 57,266,968,999.35
  5. Step 5: Solve for x
    x = 57,266,968,999.35/257,030.84
  6. Step 6: Final answer
    x = 222,801.94

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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.