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Finding the Fourth Proportional to 301,872.64, 452,805.73 and 77,231.29

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Solution

The fourth proportional to 301,872.64, 452,805.73 and 77,231.29 is: 115,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,872.64 : 452,805.73 = 77,231.29 : x
  2. Step 2: Convert to fraction form
    301,872.64/452,805.73 = 77,231.29/x
  3. Step 3: Cross multiply
    301,872.64x = 452,805.73 × 77,231.29
  4. Step 4: Simplify right side
    301,872.64x = 34,970,769,322.20
  5. Step 5: Solve for x
    x = 34,970,769,322.20/301,872.64
  6. Step 6: Final answer
    x = 115,846.11

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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.