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Finding the Fourth Proportional to 208,003.59, 312,051.96 and 65,857.32

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Solution

The fourth proportional to 208,003.59, 312,051.96 and 65,857.32 is: 98,800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,003.59 : 312,051.96 = 65,857.32 : x
  2. Step 2: Convert to fraction form
    208,003.59/312,051.96 = 65,857.32/x
  3. Step 3: Cross multiply
    208,003.59x = 312,051.96 × 65,857.32
  4. Step 4: Simplify right side
    208,003.59x = 20,550,905,786.35
  5. Step 5: Solve for x
    x = 20,550,905,786.35/208,003.59
  6. Step 6: Final answer
    x = 98,800.73

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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.