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Finding the Fourth Proportional to 154,824, 213,658.91 and 85,914.88

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Solution

The fourth proportional to 154,824, 213,658.91 and 85,914.88 is: 118,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,824 : 213,658.91 = 85,914.88 : x
  2. Step 2: Convert to fraction form
    154,824/213,658.91 = 85,914.88/x
  3. Step 3: Cross multiply
    154,824x = 213,658.91 × 85,914.88
  4. Step 4: Simplify right side
    154,824x = 18,356,479,294.22
  5. Step 5: Solve for x
    x = 18,356,479,294.22/154,824
  6. Step 6: Final answer
    x = 118,563.53

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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.