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Finding the Fourth Proportional to 116,078.40, 173,858.40 and 69,422.40

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Solution

The fourth proportional to 116,078.40, 173,858.40 and 69,422.40 is: 103,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,078.40 : 173,858.40 = 69,422.40 : x
  2. Step 2: Convert to fraction form
    116,078.40/173,858.40 = 69,422.40/x
  3. Step 3: Cross multiply
    116,078.40x = 173,858.40 × 69,422.40
  4. Step 4: Simplify right side
    116,078.40x = 12,069,667,388.16
  5. Step 5: Solve for x
    x = 12,069,667,388.16/116,078.40
  6. Step 6: Final answer
    x = 103,978.58

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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.