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Finding the Fourth Proportional to 301,697.94, 452,605.26 and 114,694.86

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Solution

The fourth proportional to 301,697.94, 452,605.26 and 114,694.86 is: 172,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,697.94 : 452,605.26 = 114,694.86 : x
  2. Step 2: Convert to fraction form
    301,697.94/452,605.26 = 114,694.86/x
  3. Step 3: Cross multiply
    301,697.94x = 452,605.26 × 114,694.86
  4. Step 4: Simplify right side
    301,697.94x = 51,911,496,930.96
  5. Step 5: Solve for x
    x = 51,911,496,930.96/301,697.94
  6. Step 6: Final answer
    x = 172,064.47

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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.