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Finding the Fourth Proportional to 301,643.83, 452,524.08 and 114,640.75

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Solution

The fourth proportional to 301,643.83, 452,524.08 and 114,640.75 is: 171,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,643.83 : 452,524.08 = 114,640.75 : x
  2. Step 2: Convert to fraction form
    301,643.83/452,524.08 = 114,640.75/x
  3. Step 3: Cross multiply
    301,643.83x = 452,524.08 × 114,640.75
  4. Step 4: Simplify right side
    301,643.83x = 51,877,699,924.26
  5. Step 5: Solve for x
    x = 51,877,699,924.26/301,643.83
  6. Step 6: Final answer
    x = 171,983.30

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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.