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Finding the Fourth Proportional to 230,808, 318,516 and 124,824

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Solution

The fourth proportional to 230,808, 318,516 and 124,824 is: 172,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,808 : 318,516 = 124,824 : x
  2. Step 2: Convert to fraction form
    230,808/318,516 = 124,824/x
  3. Step 3: Cross multiply
    230,808x = 318,516 × 124,824
  4. Step 4: Simplify right side
    230,808x = 39,758,441,184
  5. Step 5: Solve for x
    x = 39,758,441,184/230,808
  6. Step 6: Final answer
    x = 172,257.64

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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.