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Finding the Fourth Proportional to 222,539.76, 333,830.16 and 72,780.84

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Solution

The fourth proportional to 222,539.76, 333,830.16 and 72,780.84 is: 109,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,539.76 : 333,830.16 = 72,780.84 : x
  2. Step 2: Convert to fraction form
    222,539.76/333,830.16 = 72,780.84/x
  3. Step 3: Cross multiply
    222,539.76x = 333,830.16 × 72,780.84
  4. Step 4: Simplify right side
    222,539.76x = 24,296,439,462.13
  5. Step 5: Solve for x
    x = 24,296,439,462.13/222,539.76
  6. Step 6: Final answer
    x = 109,177.97

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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.