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Finding the Fourth Proportional to 302,108.86, 416,921.20 and 173,072.28

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Solution

The fourth proportional to 302,108.86, 416,921.20 and 173,072.28 is: 238,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,108.86 : 416,921.20 = 173,072.28 : x
  2. Step 2: Convert to fraction form
    302,108.86/416,921.20 = 173,072.28/x
  3. Step 3: Cross multiply
    302,108.86x = 416,921.20 × 173,072.28
  4. Step 4: Simplify right side
    302,108.86x = 72,157,502,664.34
  5. Step 5: Solve for x
    x = 72,157,502,664.34/302,108.86
  6. Step 6: Final answer
    x = 238,846.03

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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.