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Finding the Fourth Proportional to 78,189, 107,900.21 and 42,378.09

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Solution

The fourth proportional to 78,189, 107,900.21 and 42,378.09 is: 58,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,189 : 107,900.21 = 42,378.09 : x
  2. Step 2: Convert to fraction form
    78,189/107,900.21 = 42,378.09/x
  3. Step 3: Cross multiply
    78,189x = 107,900.21 × 42,378.09
  4. Step 4: Simplify right side
    78,189x = 4,572,604,598.51
  5. Step 5: Solve for x
    x = 4,572,604,598.51/78,189
  6. Step 6: Final answer
    x = 58,481.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.