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Finding the Fourth Proportional to 196,466.67, 294,754.37 and 78,221.01

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Solution

The fourth proportional to 196,466.67, 294,754.37 and 78,221.01 is: 117,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,466.67 : 294,754.37 = 78,221.01 : x
  2. Step 2: Convert to fraction form
    196,466.67/294,754.37 = 78,221.01/x
  3. Step 3: Cross multiply
    196,466.67x = 294,754.37 × 78,221.01
  4. Step 4: Simplify right side
    196,466.67x = 23,055,984,132.21
  5. Step 5: Solve for x
    x = 23,055,984,132.21/196,466.67
  6. Step 6: Final answer
    x = 117,353.16

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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.