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Finding the Fourth Proportional to 196,762.86, 295,206.54 and 70,400.34

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Solution

The fourth proportional to 196,762.86, 295,206.54 and 70,400.34 is: 105,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,762.86 : 295,206.54 = 70,400.34 : x
  2. Step 2: Convert to fraction form
    196,762.86/295,206.54 = 70,400.34/x
  3. Step 3: Cross multiply
    196,762.86x = 295,206.54 × 70,400.34
  4. Step 4: Simplify right side
    196,762.86x = 20,782,640,786.22
  5. Step 5: Solve for x
    x = 20,782,640,786.22/196,762.86
  6. Step 6: Final answer
    x = 105,622.78

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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.