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Finding the Fourth Proportional to 259,561, 358,194.72 and 140,329

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Solution

The fourth proportional to 259,561, 358,194.72 and 140,329 is: 193,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,561 : 358,194.72 = 140,329 : x
  2. Step 2: Convert to fraction form
    259,561/358,194.72 = 140,329/x
  3. Step 3: Cross multiply
    259,561x = 358,194.72 × 140,329
  4. Step 4: Simplify right side
    259,561x = 50,265,106,862.88
  5. Step 5: Solve for x
    x = 50,265,106,862.88/259,561
  6. Step 6: Final answer
    x = 193,654.31

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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.