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Finding the Fourth Proportional to 257,203.49, 385,805.28 and 107,362.04

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Solution

The fourth proportional to 257,203.49, 385,805.28 and 107,362.04 is: 161,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,203.49 : 385,805.28 = 107,362.04 : x
  2. Step 2: Convert to fraction form
    257,203.49/385,805.28 = 107,362.04/x
  3. Step 3: Cross multiply
    257,203.49x = 385,805.28 × 107,362.04
  4. Step 4: Simplify right side
    257,203.49x = 41,420,841,903.57
  5. Step 5: Solve for x
    x = 41,420,841,903.57/257,203.49
  6. Step 6: Final answer
    x = 161,043.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.