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Finding the Fourth Proportional to 196,166.10, 294,287.55 and 83,846.10

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Solution

The fourth proportional to 196,166.10, 294,287.55 and 83,846.10 is: 125,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,166.10 : 294,287.55 = 83,846.10 : x
  2. Step 2: Convert to fraction form
    196,166.10/294,287.55 = 83,846.10/x
  3. Step 3: Cross multiply
    196,166.10x = 294,287.55 × 83,846.10
  4. Step 4: Simplify right side
    196,166.10x = 24,674,863,346.06
  5. Step 5: Solve for x
    x = 24,674,863,346.06/196,166.10
  6. Step 6: Final answer
    x = 125,785.56

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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.