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Finding the Fourth Proportional to 140,862.49, 211,301.42 and 35,682.37

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Solution

The fourth proportional to 140,862.49, 211,301.42 and 35,682.37 is: 53,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,862.49 : 211,301.42 = 35,682.37 : x
  2. Step 2: Convert to fraction form
    140,862.49/211,301.42 = 35,682.37/x
  3. Step 3: Cross multiply
    140,862.49x = 211,301.42 × 35,682.37
  4. Step 4: Simplify right side
    140,862.49x = 7,539,735,449.97
  5. Step 5: Solve for x
    x = 7,539,735,449.97/140,862.49
  6. Step 6: Final answer
    x = 53,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.