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Finding the Fourth Proportional to 196,543.34, 294,227.43 and 120,402.02

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Solution

The fourth proportional to 196,543.34, 294,227.43 and 120,402.02 is: 180,243.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,543.34 : 294,227.43 = 120,402.02 : x
  2. Step 2: Convert to fraction form
    196,543.34/294,227.43 = 120,402.02/x
  3. Step 3: Cross multiply
    196,543.34x = 294,227.43 × 120,402.02
  4. Step 4: Simplify right side
    196,543.34x = 35,425,576,911.41
  5. Step 5: Solve for x
    x = 35,425,576,911.41/196,543.34
  6. Step 6: Final answer
    x = 180,243.08

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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.