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Finding the Fourth Proportional to 123,369.84, 170,081 and 78,025.20

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Solution

The fourth proportional to 123,369.84, 170,081 and 78,025.20 is: 107,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,369.84 : 170,081 = 78,025.20 : x
  2. Step 2: Convert to fraction form
    123,369.84/170,081 = 78,025.20/x
  3. Step 3: Cross multiply
    123,369.84x = 170,081 × 78,025.20
  4. Step 4: Simplify right side
    123,369.84x = 13,270,604,041.20
  5. Step 5: Solve for x
    x = 13,270,604,041.20/123,369.84
  6. Step 6: Final answer
    x = 107,567.65

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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.