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Finding the Fourth Proportional to 302,081.34, 416,865.47 and 164,257.29

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Solution

The fourth proportional to 302,081.34, 416,865.47 and 164,257.29 is: 226,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,081.34 : 416,865.47 = 164,257.29 : x
  2. Step 2: Convert to fraction form
    302,081.34/416,865.47 = 164,257.29/x
  3. Step 3: Cross multiply
    302,081.34x = 416,865.47 × 164,257.29
  4. Step 4: Simplify right side
    302,081.34x = 68,473,191,575.49
  5. Step 5: Solve for x
    x = 68,473,191,575.49/302,081.34
  6. Step 6: Final answer
    x = 226,671.37

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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.