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Finding the Fourth Proportional to 301,702, 452,611.23 and 114,698.92

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Solution

The fourth proportional to 301,702, 452,611.23 and 114,698.92 is: 172,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,702 : 452,611.23 = 114,698.92 : x
  2. Step 2: Convert to fraction form
    301,702/452,611.23 = 114,698.92/x
  3. Step 3: Cross multiply
    301,702x = 452,611.23 × 114,698.92
  4. Step 4: Simplify right side
    301,702x = 51,914,019,260.87
  5. Step 5: Solve for x
    x = 51,914,019,260.87/301,702
  6. Step 6: Final answer
    x = 172,070.52

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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.