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Finding the Fourth Proportional to 300,852.42, 415,181.68 and 164,877.32

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Solution

The fourth proportional to 300,852.42, 415,181.68 and 164,877.32 is: 227,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,852.42 : 415,181.68 = 164,877.32 : x
  2. Step 2: Convert to fraction form
    300,852.42/415,181.68 = 164,877.32/x
  3. Step 3: Cross multiply
    300,852.42x = 415,181.68 × 164,877.32
  4. Step 4: Simplify right side
    300,852.42x = 68,454,042,711.50
  5. Step 5: Solve for x
    x = 68,454,042,711.50/300,852.42
  6. Step 6: Final answer
    x = 227,533.63

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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.