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Finding the Fourth Proportional to 223,712.64, 335,899.44 and 149,296.32

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Solution

The fourth proportional to 223,712.64, 335,899.44 and 149,296.32 is: 224,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,712.64 : 335,899.44 = 149,296.32 : x
  2. Step 2: Convert to fraction form
    223,712.64/335,899.44 = 149,296.32/x
  3. Step 3: Cross multiply
    223,712.64x = 335,899.44 × 149,296.32
  4. Step 4: Simplify right side
    223,712.64x = 50,148,550,282.06
  5. Step 5: Solve for x
    x = 50,148,550,282.06/223,712.64
  6. Step 6: Final answer
    x = 224,165.03

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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.