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Finding the Fourth Proportional to 184,214.40, 276,467.40 and 71,948.40

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Solution

The fourth proportional to 184,214.40, 276,467.40 and 71,948.40 is: 107,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,214.40 : 276,467.40 = 71,948.40 : x
  2. Step 2: Convert to fraction form
    184,214.40/276,467.40 = 71,948.40/x
  3. Step 3: Cross multiply
    184,214.40x = 276,467.40 × 71,948.40
  4. Step 4: Simplify right side
    184,214.40x = 19,891,387,082.16
  5. Step 5: Solve for x
    x = 19,891,387,082.16/184,214.40
  6. Step 6: Final answer
    x = 107,979.54

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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.