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Finding the Fourth Proportional to 196,080.80, 294,121.20 and 175,344.80

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Solution

The fourth proportional to 196,080.80, 294,121.20 and 175,344.80 is: 263,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,080.80 : 294,121.20 = 175,344.80 : x
  2. Step 2: Convert to fraction form
    196,080.80/294,121.20 = 175,344.80/x
  3. Step 3: Cross multiply
    196,080.80x = 294,121.20 × 175,344.80
  4. Step 4: Simplify right side
    196,080.80x = 51,572,622,989.76
  5. Step 5: Solve for x
    x = 51,572,622,989.76/196,080.80
  6. Step 6: Final answer
    x = 263,017.20

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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.