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Finding the Fourth Proportional to 196,437, 294,709.89 and 78,191.38

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Solution

The fourth proportional to 196,437, 294,709.89 and 78,191.38 is: 117,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,437 : 294,709.89 = 78,191.38 : x
  2. Step 2: Convert to fraction form
    196,437/294,709.89 = 78,191.38/x
  3. Step 3: Cross multiply
    196,437x = 294,709.89 × 78,191.38
  4. Step 4: Simplify right side
    196,437x = 23,043,772,998.75
  5. Step 5: Solve for x
    x = 23,043,772,998.75/196,437
  6. Step 6: Final answer
    x = 117,308.72

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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.