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Finding the Fourth Proportional to 169,465.44, 233,862.40 and 94,014

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Solution

The fourth proportional to 169,465.44, 233,862.40 and 94,014 is: 129,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,465.44 : 233,862.40 = 94,014 : x
  2. Step 2: Convert to fraction form
    169,465.44/233,862.40 = 94,014/x
  3. Step 3: Cross multiply
    169,465.44x = 233,862.40 × 94,014
  4. Step 4: Simplify right side
    169,465.44x = 21,986,339,673.60
  5. Step 5: Solve for x
    x = 21,986,339,673.60/169,465.44
  6. Step 6: Final answer
    x = 129,739.37

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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.