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Finding the Fourth Proportional to 196,068.84, 294,015.24 and 55,794.12

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Solution

The fourth proportional to 196,068.84, 294,015.24 and 55,794.12 is: 83,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,068.84 : 294,015.24 = 55,794.12 : x
  2. Step 2: Convert to fraction form
    196,068.84/294,015.24 = 55,794.12/x
  3. Step 3: Cross multiply
    196,068.84x = 294,015.24 × 55,794.12
  4. Step 4: Simplify right side
    196,068.84x = 16,404,321,582.39
  5. Step 5: Solve for x
    x = 16,404,321,582.39/196,068.84
  6. Step 6: Final answer
    x = 83,666.13

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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.