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Finding the Fourth Proportional to 230,006.84, 345,080.85 and 117,765.86

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Solution

The fourth proportional to 230,006.84, 345,080.85 and 117,765.86 is: 176,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,006.84 : 345,080.85 = 117,765.86 : x
  2. Step 2: Convert to fraction form
    230,006.84/345,080.85 = 117,765.86/x
  3. Step 3: Cross multiply
    230,006.84x = 345,080.85 × 117,765.86
  4. Step 4: Simplify right side
    230,006.84x = 40,638,743,364.20
  5. Step 5: Solve for x
    x = 40,638,743,364.20/230,006.84
  6. Step 6: Final answer
    x = 176,684.94

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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.