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Finding the Fourth Proportional to 301,879.82, 452,901.40 and 102,200.23

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Solution

The fourth proportional to 301,879.82, 452,901.40 and 102,200.23 is: 153,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,879.82 : 452,901.40 = 102,200.23 : x
  2. Step 2: Convert to fraction form
    301,879.82/452,901.40 = 102,200.23/x
  3. Step 3: Cross multiply
    301,879.82x = 452,901.40 × 102,200.23
  4. Step 4: Simplify right side
    301,879.82x = 46,286,627,247.32
  5. Step 5: Solve for x
    x = 46,286,627,247.32/301,879.82
  6. Step 6: Final answer
    x = 153,327.99

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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.