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Finding the Fourth Proportional to 260,300, 359,214.24 and 141,068

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Solution

The fourth proportional to 260,300, 359,214.24 and 141,068 is: 194,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,300 : 359,214.24 = 141,068 : x
  2. Step 2: Convert to fraction form
    260,300/359,214.24 = 141,068/x
  3. Step 3: Cross multiply
    260,300x = 359,214.24 × 141,068
  4. Step 4: Simplify right side
    260,300x = 50,673,634,408.32
  5. Step 5: Solve for x
    x = 50,673,634,408.32/260,300
  6. Step 6: Final answer
    x = 194,673.97

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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.