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Finding the Fourth Proportional to 196,211, 294,319.27 and 55,969.63

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Solution

The fourth proportional to 196,211, 294,319.27 and 55,969.63 is: 83,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,211 : 294,319.27 = 55,969.63 : x
  2. Step 2: Convert to fraction form
    196,211/294,319.27 = 55,969.63/x
  3. Step 3: Cross multiply
    196,211x = 294,319.27 × 55,969.63
  4. Step 4: Simplify right side
    196,211x = 16,472,940,643.77
  5. Step 5: Solve for x
    x = 16,472,940,643.77/196,211
  6. Step 6: Final answer
    x = 83,955.24

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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.