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Finding the Fourth Proportional to 253,764.63, 350,036.64 and 163,238.49

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Solution

The fourth proportional to 253,764.63, 350,036.64 and 163,238.49 is: 225,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,764.63 : 350,036.64 = 163,238.49 : x
  2. Step 2: Convert to fraction form
    253,764.63/350,036.64 = 163,238.49/x
  3. Step 3: Cross multiply
    253,764.63x = 350,036.64 × 163,238.49
  4. Step 4: Simplify right side
    253,764.63x = 57,139,452,558.27
  5. Step 5: Solve for x
    x = 57,139,452,558.27/253,764.63
  6. Step 6: Final answer
    x = 225,167.13

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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.