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Finding the Fourth Proportional to 196,243.20, 294,364.80 and 117,316.80

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Solution

The fourth proportional to 196,243.20, 294,364.80 and 117,316.80 is: 175,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,243.20 : 294,364.80 = 117,316.80 : x
  2. Step 2: Convert to fraction form
    196,243.20/294,364.80 = 117,316.80/x
  3. Step 3: Cross multiply
    196,243.20x = 294,364.80 × 117,316.80
  4. Step 4: Simplify right side
    196,243.20x = 34,533,936,368.64
  5. Step 5: Solve for x
    x = 34,533,936,368.64/196,243.20
  6. Step 6: Final answer
    x = 175,975.20

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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.