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Finding the Fourth Proportional to 255,193.88, 382,876.68 and 113,019.44

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Solution

The fourth proportional to 255,193.88, 382,876.68 and 113,019.44 is: 169,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,193.88 : 382,876.68 = 113,019.44 : x
  2. Step 2: Convert to fraction form
    255,193.88/382,876.68 = 113,019.44/x
  3. Step 3: Cross multiply
    255,193.88x = 382,876.68 × 113,019.44
  4. Step 4: Simplify right side
    255,193.88x = 43,272,507,962.66
  5. Step 5: Solve for x
    x = 43,272,507,962.66/255,193.88
  6. Step 6: Final answer
    x = 169,567.19

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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.