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Finding the Fourth Proportional to 208,063.59, 312,069.09 and 65,923.29

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Solution

The fourth proportional to 208,063.59, 312,069.09 and 65,923.29 is: 98,876.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,063.59 : 312,069.09 = 65,923.29 : x
  2. Step 2: Convert to fraction form
    208,063.59/312,069.09 = 65,923.29/x
  3. Step 3: Cross multiply
    208,063.59x = 312,069.09 × 65,923.29
  4. Step 4: Simplify right side
    208,063.59x = 20,572,621,874.19
  5. Step 5: Solve for x
    x = 20,572,621,874.19/208,063.59
  6. Step 6: Final answer
    x = 98,876.61

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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.