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Finding the Fourth Proportional to 196,269.90, 294,102.45 and 146,114.70

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Solution

The fourth proportional to 196,269.90, 294,102.45 and 146,114.70 is: 218,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,269.90 : 294,102.45 = 146,114.70 : x
  2. Step 2: Convert to fraction form
    196,269.90/294,102.45 = 146,114.70/x
  3. Step 3: Cross multiply
    196,269.90x = 294,102.45 × 146,114.70
  4. Step 4: Simplify right side
    196,269.90x = 42,972,691,251.02
  5. Step 5: Solve for x
    x = 42,972,691,251.02/196,269.90
  6. Step 6: Final answer
    x = 218,946.93

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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.