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Finding the Fourth Proportional to 196,802.20, 295,203.30 and 96,977.80

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Solution

The fourth proportional to 196,802.20, 295,203.30 and 96,977.80 is: 145,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,802.20 : 295,203.30 = 96,977.80 : x
  2. Step 2: Convert to fraction form
    196,802.20/295,203.30 = 96,977.80/x
  3. Step 3: Cross multiply
    196,802.20x = 295,203.30 × 96,977.80
  4. Step 4: Simplify right side
    196,802.20x = 28,628,166,586.74
  5. Step 5: Solve for x
    x = 28,628,166,586.74/196,802.20
  6. Step 6: Final answer
    x = 145,466.70

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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.