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Finding the Fourth Proportional to 196,494.78, 294,495.64 and 84,043.02

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Solution

The fourth proportional to 196,494.78, 294,495.64 and 84,043.02 is: 125,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,494.78 : 294,495.64 = 84,043.02 : x
  2. Step 2: Convert to fraction form
    196,494.78/294,495.64 = 84,043.02/x
  3. Step 3: Cross multiply
    196,494.78x = 294,495.64 × 84,043.02
  4. Step 4: Simplify right side
    196,494.78x = 24,750,302,962.43
  5. Step 5: Solve for x
    x = 24,750,302,962.43/196,494.78
  6. Step 6: Final answer
    x = 125,959.09

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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.