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Finding the Fourth Proportional to 251,581.76, 347,326.16 and 166,813.44

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Solution

The fourth proportional to 251,581.76, 347,326.16 and 166,813.44 is: 230,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,581.76 : 347,326.16 = 166,813.44 : x
  2. Step 2: Convert to fraction form
    251,581.76/347,326.16 = 166,813.44/x
  3. Step 3: Cross multiply
    251,581.76x = 347,326.16 × 166,813.44
  4. Step 4: Simplify right side
    251,581.76x = 57,938,671,551.59
  5. Step 5: Solve for x
    x = 57,938,671,551.59/251,581.76
  6. Step 6: Final answer
    x = 230,297.58

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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.