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Finding the Fourth Proportional to 196,196, 294,296.77 and 55,954.63

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Solution

The fourth proportional to 196,196, 294,296.77 and 55,954.63 is: 83,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,196 : 294,296.77 = 55,954.63 : x
  2. Step 2: Convert to fraction form
    196,196/294,296.77 = 55,954.63/x
  3. Step 3: Cross multiply
    196,196x = 294,296.77 × 55,954.63
  4. Step 4: Simplify right side
    196,196x = 16,467,266,875.55
  5. Step 5: Solve for x
    x = 16,467,266,875.55/196,196
  6. Step 6: Final answer
    x = 83,932.73

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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.