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Finding the Fourth Proportional to 295,834, 443,751 and 98,842

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Solution

The fourth proportional to 295,834, 443,751 and 98,842 is: 148,263

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,834 : 443,751 = 98,842 : x
  2. Step 2: Convert to fraction form
    295,834/443,751 = 98,842/x
  3. Step 3: Cross multiply
    295,834x = 443,751 × 98,842
  4. Step 4: Simplify right side
    295,834x = 43,861,236,342
  5. Step 5: Solve for x
    x = 43,861,236,342/295,834
  6. Step 6: Final answer
    x = 148,263

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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.