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Finding the Fourth Proportional to 222,274.24, 333,113.16 and 143,347.84

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Solution

The fourth proportional to 222,274.24, 333,113.16 and 143,347.84 is: 214,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,274.24 : 333,113.16 = 143,347.84 : x
  2. Step 2: Convert to fraction form
    222,274.24/333,113.16 = 143,347.84/x
  3. Step 3: Cross multiply
    222,274.24x = 333,113.16 × 143,347.84
  4. Step 4: Simplify right side
    222,274.24x = 47,751,051,961.57
  5. Step 5: Solve for x
    x = 47,751,051,961.57/222,274.24
  6. Step 6: Final answer
    x = 214,829.45

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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.