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Finding the Fourth Proportional to 165,674.20, 248,543.70 and 65,817.40

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Solution

The fourth proportional to 165,674.20, 248,543.70 and 65,817.40 is: 98,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,674.20 : 248,543.70 = 65,817.40 : x
  2. Step 2: Convert to fraction form
    165,674.20/248,543.70 = 65,817.40/x
  3. Step 3: Cross multiply
    165,674.20x = 248,543.70 × 65,817.40
  4. Step 4: Simplify right side
    165,674.20x = 16,358,500,120.38
  5. Step 5: Solve for x
    x = 16,358,500,120.38/165,674.20
  6. Step 6: Final answer
    x = 98,738.97

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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.