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Finding the Fourth Proportional to 196,174.84, 294,253.98 and 55,933.24

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Solution

The fourth proportional to 196,174.84, 294,253.98 and 55,933.24 is: 83,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,174.84 : 294,253.98 = 55,933.24 : x
  2. Step 2: Convert to fraction form
    196,174.84/294,253.98 = 55,933.24/x
  3. Step 3: Cross multiply
    196,174.84x = 294,253.98 × 55,933.24
  4. Step 4: Simplify right side
    196,174.84x = 16,458,578,484.30
  5. Step 5: Solve for x
    x = 16,458,578,484.30/196,174.84
  6. Step 6: Final answer
    x = 83,897.50

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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.