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Finding the Fourth Proportional to 196,374.63, 270,984.02 and 115,798.35

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Solution

The fourth proportional to 196,374.63, 270,984.02 and 115,798.35 is: 159,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,374.63 : 270,984.02 = 115,798.35 : x
  2. Step 2: Convert to fraction form
    196,374.63/270,984.02 = 115,798.35/x
  3. Step 3: Cross multiply
    196,374.63x = 270,984.02 × 115,798.35
  4. Step 4: Simplify right side
    196,374.63x = 31,379,501,813.38
  5. Step 5: Solve for x
    x = 31,379,501,813.38/196,374.63
  6. Step 6: Final answer
    x = 159,794.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.