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Finding the Fourth Proportional to 107,078.60, 160,617.90 and 96,019.40

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Solution

The fourth proportional to 107,078.60, 160,617.90 and 96,019.40 is: 144,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,078.60 : 160,617.90 = 96,019.40 : x
  2. Step 2: Convert to fraction form
    107,078.60/160,617.90 = 96,019.40/x
  3. Step 3: Cross multiply
    107,078.60x = 160,617.90 × 96,019.40
  4. Step 4: Simplify right side
    107,078.60x = 15,422,434,387.26
  5. Step 5: Solve for x
    x = 15,422,434,387.26/107,078.60
  6. Step 6: Final answer
    x = 144,029.10

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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.