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Finding the Fourth Proportional to 223,442.86, 335,058.72 and 81,188.98

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Solution

The fourth proportional to 223,442.86, 335,058.72 and 81,188.98 is: 121,745.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,442.86 : 335,058.72 = 81,188.98 : x
  2. Step 2: Convert to fraction form
    223,442.86/335,058.72 = 81,188.98/x
  3. Step 3: Cross multiply
    223,442.86x = 335,058.72 × 81,188.98
  4. Step 4: Simplify right side
    223,442.86x = 27,203,075,716.91
  5. Step 5: Solve for x
    x = 27,203,075,716.91/223,442.86
  6. Step 6: Final answer
    x = 121,745.11

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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.