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Finding the Fourth Proportional to 151,174, 226,763.16 and 52,678

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Solution

The fourth proportional to 151,174, 226,763.16 and 52,678 is: 79,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,174 : 226,763.16 = 52,678 : x
  2. Step 2: Convert to fraction form
    151,174/226,763.16 = 52,678/x
  3. Step 3: Cross multiply
    151,174x = 226,763.16 × 52,678
  4. Step 4: Simplify right side
    151,174x = 11,945,429,742.48
  5. Step 5: Solve for x
    x = 11,945,429,742.48/151,174
  6. Step 6: Final answer
    x = 79,017.75

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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.