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Finding the Fourth Proportional to 196,542.34, 294,225.93 and 120,401.02

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Solution

The fourth proportional to 196,542.34, 294,225.93 and 120,401.02 is: 180,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,542.34 : 294,225.93 = 120,401.02 : x
  2. Step 2: Convert to fraction form
    196,542.34/294,225.93 = 120,401.02/x
  3. Step 3: Cross multiply
    196,542.34x = 294,225.93 × 120,401.02
  4. Step 4: Simplify right side
    196,542.34x = 35,425,102,082.45
  5. Step 5: Solve for x
    x = 35,425,102,082.45/196,542.34
  6. Step 6: Final answer
    x = 180,241.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.