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Finding the Fourth Proportional to 196,065.40, 294,109.26 and 55,813

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Solution

The fourth proportional to 196,065.40, 294,109.26 and 55,813 is: 83,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,065.40 : 294,109.26 = 55,813 : x
  2. Step 2: Convert to fraction form
    196,065.40/294,109.26 = 55,813/x
  3. Step 3: Cross multiply
    196,065.40x = 294,109.26 × 55,813
  4. Step 4: Simplify right side
    196,065.40x = 16,415,120,128.38
  5. Step 5: Solve for x
    x = 16,415,120,128.38/196,065.40
  6. Step 6: Final answer
    x = 83,722.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.