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Finding the Fourth Proportional to 228,104, 342,298.56 and 109,787.84

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Solution

The fourth proportional to 228,104, 342,298.56 and 109,787.84 is: 164,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,104 : 342,298.56 = 109,787.84 : x
  2. Step 2: Convert to fraction form
    228,104/342,298.56 = 109,787.84/x
  3. Step 3: Cross multiply
    228,104x = 342,298.56 × 109,787.84
  4. Step 4: Simplify right side
    228,104x = 37,580,219,537.51
  5. Step 5: Solve for x
    x = 37,580,219,537.51/228,104
  6. Step 6: Final answer
    x = 164,750.37

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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.