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Finding the Fourth Proportional to 219,405.20, 302,777.06 and 123,909.84

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Solution

The fourth proportional to 219,405.20, 302,777.06 and 123,909.84 is: 170,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,405.20 : 302,777.06 = 123,909.84 : x
  2. Step 2: Convert to fraction form
    219,405.20/302,777.06 = 123,909.84/x
  3. Step 3: Cross multiply
    219,405.20x = 302,777.06 × 123,909.84
  4. Step 4: Simplify right side
    219,405.20x = 37,517,056,440.72
  5. Step 5: Solve for x
    x = 37,517,056,440.72/219,405.20
  6. Step 6: Final answer
    x = 170,994.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.