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Finding the Fourth Proportional to 165,383.84, 248,077.30 and 53,064.30

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Solution

The fourth proportional to 165,383.84, 248,077.30 and 53,064.30 is: 79,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,383.84 : 248,077.30 = 53,064.30 : x
  2. Step 2: Convert to fraction form
    165,383.84/248,077.30 = 53,064.30/x
  3. Step 3: Cross multiply
    165,383.84x = 248,077.30 × 53,064.30
  4. Step 4: Simplify right side
    165,383.84x = 13,164,048,270.39
  5. Step 5: Solve for x
    x = 13,164,048,270.39/165,383.84
  6. Step 6: Final answer
    x = 79,596.94

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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.