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Finding the Fourth Proportional to 191,809.36, 264,697 and 106,924.64

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Solution

The fourth proportional to 191,809.36, 264,697 and 106,924.64 is: 147,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,809.36 : 264,697 = 106,924.64 : x
  2. Step 2: Convert to fraction form
    191,809.36/264,697 = 106,924.64/x
  3. Step 3: Cross multiply
    191,809.36x = 264,697 × 106,924.64
  4. Step 4: Simplify right side
    191,809.36x = 28,302,631,434.08
  5. Step 5: Solve for x
    x = 28,302,631,434.08/191,809.36
  6. Step 6: Final answer
    x = 147,556.05

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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.