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Finding the Fourth Proportional to 223,027, 334,540.50 and 75,283

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Solution

The fourth proportional to 223,027, 334,540.50 and 75,283 is: 112,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,027 : 334,540.50 = 75,283 : x
  2. Step 2: Convert to fraction form
    223,027/334,540.50 = 75,283/x
  3. Step 3: Cross multiply
    223,027x = 334,540.50 × 75,283
  4. Step 4: Simplify right side
    223,027x = 25,185,212,461.50
  5. Step 5: Solve for x
    x = 25,185,212,461.50/223,027
  6. Step 6: Final answer
    x = 112,924.50

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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.