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Finding the Fourth Proportional to 220,677.10, 330,756.45 and 102,097.96

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Solution

The fourth proportional to 220,677.10, 330,756.45 and 102,097.96 is: 153,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,677.10 : 330,756.45 = 102,097.96 : x
  2. Step 2: Convert to fraction form
    220,677.10/330,756.45 = 102,097.96/x
  3. Step 3: Cross multiply
    220,677.10x = 330,756.45 × 102,097.96
  4. Step 4: Simplify right side
    220,677.10x = 33,769,558,801.84
  5. Step 5: Solve for x
    x = 33,769,558,801.84/220,677.10
  6. Step 6: Final answer
    x = 153,027.02

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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.