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Finding the Fourth Proportional to 123,405.79, 170,213.38 and 75,678.16

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Solution

The fourth proportional to 123,405.79, 170,213.38 and 75,678.16 is: 104,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,405.79 : 170,213.38 = 75,678.16 : x
  2. Step 2: Convert to fraction form
    123,405.79/170,213.38 = 75,678.16/x
  3. Step 3: Cross multiply
    123,405.79x = 170,213.38 × 75,678.16
  4. Step 4: Simplify right side
    123,405.79x = 12,881,435,405.78
  5. Step 5: Solve for x
    x = 12,881,435,405.78/123,405.79
  6. Step 6: Final answer
    x = 104,382.75

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Why These Related Problems?

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