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Finding the Fourth Proportional to 196,271.90, 294,105.45 and 146,116.70

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Solution

The fourth proportional to 196,271.90, 294,105.45 and 146,116.70 is: 218,949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,271.90 : 294,105.45 = 146,116.70 : x
  2. Step 2: Convert to fraction form
    196,271.90/294,105.45 = 146,116.70/x
  3. Step 3: Cross multiply
    196,271.90x = 294,105.45 × 146,116.70
  4. Step 4: Simplify right side
    196,271.90x = 42,973,717,806.02
  5. Step 5: Solve for x
    x = 42,973,717,806.02/196,271.90
  6. Step 6: Final answer
    x = 218,949.93

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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.