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Finding the Fourth Proportional to 106,983.20, 160,167.60 and 65,511.20

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Solution

The fourth proportional to 106,983.20, 160,167.60 and 65,511.20 is: 98,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983.20 : 160,167.60 = 65,511.20 : x
  2. Step 2: Convert to fraction form
    106,983.20/160,167.60 = 65,511.20/x
  3. Step 3: Cross multiply
    106,983.20x = 160,167.60 × 65,511.20
  4. Step 4: Simplify right side
    106,983.20x = 10,492,771,677.12
  5. Step 5: Solve for x
    x = 10,492,771,677.12/106,983.20
  6. Step 6: Final answer
    x = 98,078.69

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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.