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Finding the Fourth Proportional to 196,465.12, 294,451.07 and 84,013.09

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Solution

The fourth proportional to 196,465.12, 294,451.07 and 84,013.09 is: 125,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,465.12 : 294,451.07 = 84,013.09 : x
  2. Step 2: Convert to fraction form
    196,465.12/294,451.07 = 84,013.09/x
  3. Step 3: Cross multiply
    196,465.12x = 294,451.07 × 84,013.09
  4. Step 4: Simplify right side
    196,465.12x = 24,737,743,088.31
  5. Step 5: Solve for x
    x = 24,737,743,088.31/196,465.12
  6. Step 6: Final answer
    x = 125,914.17

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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.