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Finding the Fourth Proportional to 260,294, 359,205.96 and 141,062

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Solution

The fourth proportional to 260,294, 359,205.96 and 141,062 is: 194,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,294 : 359,205.96 = 141,062 : x
  2. Step 2: Convert to fraction form
    260,294/359,205.96 = 141,062/x
  3. Step 3: Cross multiply
    260,294x = 359,205.96 × 141,062
  4. Step 4: Simplify right side
    260,294x = 50,670,311,129.52
  5. Step 5: Solve for x
    x = 50,670,311,129.52/260,294
  6. Step 6: Final answer
    x = 194,665.69

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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.