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Finding the Fourth Proportional to 252,083.40, 378,270.90 and 94,327.80

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Solution

The fourth proportional to 252,083.40, 378,270.90 and 94,327.80 is: 141,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,083.40 : 378,270.90 = 94,327.80 : x
  2. Step 2: Convert to fraction form
    252,083.40/378,270.90 = 94,327.80/x
  3. Step 3: Cross multiply
    252,083.40x = 378,270.90 × 94,327.80
  4. Step 4: Simplify right side
    252,083.40x = 35,681,461,801.02
  5. Step 5: Solve for x
    x = 35,681,461,801.02/252,083.40
  6. Step 6: Final answer
    x = 141,546.26

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Why These Related Problems?

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