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Finding the Fourth Proportional to 301,241.54, 415,372.47 and 192,199.98

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Solution

The fourth proportional to 301,241.54, 415,372.47 and 192,199.98 is: 265,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,241.54 : 415,372.47 = 192,199.98 : x
  2. Step 2: Convert to fraction form
    301,241.54/415,372.47 = 192,199.98/x
  3. Step 3: Cross multiply
    301,241.54x = 415,372.47 × 192,199.98
  4. Step 4: Simplify right side
    301,241.54x = 79,834,580,426.55
  5. Step 5: Solve for x
    x = 79,834,580,426.55/301,241.54
  6. Step 6: Final answer
    x = 265,018.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.