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Finding the Fourth Proportional to 301,342.56, 451,838.82 and 114,252

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Solution

The fourth proportional to 301,342.56, 451,838.82 and 114,252 is: 171,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,342.56 : 451,838.82 = 114,252 : x
  2. Step 2: Convert to fraction form
    301,342.56/451,838.82 = 114,252/x
  3. Step 3: Cross multiply
    301,342.56x = 451,838.82 × 114,252
  4. Step 4: Simplify right side
    301,342.56x = 51,623,488,862.64
  5. Step 5: Solve for x
    x = 51,623,488,862.64/301,342.56
  6. Step 6: Final answer
    x = 171,311.64

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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.