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Finding the Fourth Proportional to 196,064.40, 294,107.76 and 55,812

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Solution

The fourth proportional to 196,064.40, 294,107.76 and 55,812 is: 83,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,064.40 : 294,107.76 = 55,812 : x
  2. Step 2: Convert to fraction form
    196,064.40/294,107.76 = 55,812/x
  3. Step 3: Cross multiply
    196,064.40x = 294,107.76 × 55,812
  4. Step 4: Simplify right side
    196,064.40x = 16,414,742,301.12
  5. Step 5: Solve for x
    x = 16,414,742,301.12/196,064.40
  6. Step 6: Final answer
    x = 83,721.18

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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.