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Finding the Fourth Proportional to 302,122.88, 416,924.16 and 167,984

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Solution

The fourth proportional to 302,122.88, 416,924.16 and 167,984 is: 231,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,122.88 : 416,924.16 = 167,984 : x
  2. Step 2: Convert to fraction form
    302,122.88/416,924.16 = 167,984/x
  3. Step 3: Cross multiply
    302,122.88x = 416,924.16 × 167,984
  4. Step 4: Simplify right side
    302,122.88x = 70,036,588,093.44
  5. Step 5: Solve for x
    x = 70,036,588,093.44/302,122.88
  6. Step 6: Final answer
    x = 231,814.91

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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.