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Finding the Fourth Proportional to 191,279.52, 264,036.78 and 164,313.80

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Solution

The fourth proportional to 191,279.52, 264,036.78 and 164,313.80 is: 226,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,279.52 : 264,036.78 = 164,313.80 : x
  2. Step 2: Convert to fraction form
    191,279.52/264,036.78 = 164,313.80/x
  3. Step 3: Cross multiply
    191,279.52x = 264,036.78 × 164,313.80
  4. Step 4: Simplify right side
    191,279.52x = 43,384,886,661.56
  5. Step 5: Solve for x
    x = 43,384,886,661.56/191,279.52
  6. Step 6: Final answer
    x = 226,814.07

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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.