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Finding the Fourth Proportional to 193,058.26, 266,420.47 and 117,606.76

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Solution

The fourth proportional to 193,058.26, 266,420.47 and 117,606.76 is: 162,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,058.26 : 266,420.47 = 117,606.76 : x
  2. Step 2: Convert to fraction form
    193,058.26/266,420.47 = 117,606.76/x
  3. Step 3: Cross multiply
    193,058.26x = 266,420.47 × 117,606.76
  4. Step 4: Simplify right side
    193,058.26x = 31,332,848,274.38
  5. Step 5: Solve for x
    x = 31,332,848,274.38/193,058.26
  6. Step 6: Final answer
    x = 162,297.37

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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.