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Finding the Fourth Proportional to 83,984.20, 117,733.40 and 83,984.20

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Solution

The fourth proportional to 83,984.20, 117,733.40 and 83,984.20 is: 117,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,984.20 : 117,733.40 = 83,984.20 : x
  2. Step 2: Convert to fraction form
    83,984.20/117,733.40 = 83,984.20/x
  3. Step 3: Cross multiply
    83,984.20x = 117,733.40 × 83,984.20
  4. Step 4: Simplify right side
    83,984.20x = 9,887,745,412.28
  5. Step 5: Solve for x
    x = 9,887,745,412.28/83,984.20
  6. Step 6: Final answer
    x = 117,733.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.