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Finding the Fourth Proportional to 223,978.84, 335,967.65 and 184,452.46

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Solution

The fourth proportional to 223,978.84, 335,967.65 and 184,452.46 is: 276,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978.84 : 335,967.65 = 184,452.46 : x
  2. Step 2: Convert to fraction form
    223,978.84/335,967.65 = 184,452.46/x
  3. Step 3: Cross multiply
    223,978.84x = 335,967.65 × 184,452.46
  4. Step 4: Simplify right side
    223,978.84x = 61,970,058,452.43
  5. Step 5: Solve for x
    x = 61,970,058,452.43/223,978.84
  6. Step 6: Final answer
    x = 276,678.19

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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.