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Finding the Fourth Proportional to 256,851.49, 385,214.91 and 107,010.03

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Solution

The fourth proportional to 256,851.49, 385,214.91 and 107,010.03 is: 160,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,851.49 : 385,214.91 = 107,010.03 : x
  2. Step 2: Convert to fraction form
    256,851.49/385,214.91 = 107,010.03/x
  3. Step 3: Cross multiply
    256,851.49x = 385,214.91 × 107,010.03
  4. Step 4: Simplify right side
    256,851.49x = 41,221,857,149.47
  5. Step 5: Solve for x
    x = 41,221,857,149.47/256,851.49
  6. Step 6: Final answer
    x = 160,489.07

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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.