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Finding the Fourth Proportional to 196,465.50, 294,722.96 and 76,525.16

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Solution

The fourth proportional to 196,465.50, 294,722.96 and 76,525.16 is: 114,797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,465.50 : 294,722.96 = 76,525.16 : x
  2. Step 2: Convert to fraction form
    196,465.50/294,722.96 = 76,525.16/x
  3. Step 3: Cross multiply
    196,465.50x = 294,722.96 × 76,525.16
  4. Step 4: Simplify right side
    196,465.50x = 22,553,719,813.43
  5. Step 5: Solve for x
    x = 22,553,719,813.43/196,465.50
  6. Step 6: Final answer
    x = 114,797.36

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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.