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Finding the Fourth Proportional to 103,948.30, 143,464.80 and 68,241.88

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Solution

The fourth proportional to 103,948.30, 143,464.80 and 68,241.88 is: 94,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,948.30 : 143,464.80 = 68,241.88 : x
  2. Step 2: Convert to fraction form
    103,948.30/143,464.80 = 68,241.88/x
  3. Step 3: Cross multiply
    103,948.30x = 143,464.80 × 68,241.88
  4. Step 4: Simplify right side
    103,948.30x = 9,790,307,665.82
  5. Step 5: Solve for x
    x = 9,790,307,665.82/103,948.30
  6. Step 6: Final answer
    x = 94,184.39

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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.