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Finding the Fourth Proportional to 205,805.22, 308,713.26 and 56,048.58

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Solution

The fourth proportional to 205,805.22, 308,713.26 and 56,048.58 is: 84,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,805.22 : 308,713.26 = 56,048.58 : x
  2. Step 2: Convert to fraction form
    205,805.22/308,713.26 = 56,048.58/x
  3. Step 3: Cross multiply
    205,805.22x = 308,713.26 × 56,048.58
  4. Step 4: Simplify right side
    205,805.22x = 17,302,939,850.17
  5. Step 5: Solve for x
    x = 17,302,939,850.17/205,805.22
  6. Step 6: Final answer
    x = 84,074.35

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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.