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Finding the Fourth Proportional to 123,381.54, 170,293.50 and 78,119.88

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Solution

The fourth proportional to 123,381.54, 170,293.50 and 78,119.88 is: 107,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,381.54 : 170,293.50 = 78,119.88 : x
  2. Step 2: Convert to fraction form
    123,381.54/170,293.50 = 78,119.88/x
  3. Step 3: Cross multiply
    123,381.54x = 170,293.50 × 78,119.88
  4. Step 4: Simplify right side
    123,381.54x = 13,303,307,784.78
  5. Step 5: Solve for x
    x = 13,303,307,784.78/123,381.54
  6. Step 6: Final answer
    x = 107,822.51

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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.