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Finding the Fourth Proportional to 341,922.70, 512,884.05 and 105,337.90

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Solution

The fourth proportional to 341,922.70, 512,884.05 and 105,337.90 is: 158,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,922.70 : 512,884.05 = 105,337.90 : x
  2. Step 2: Convert to fraction form
    341,922.70/512,884.05 = 105,337.90/x
  3. Step 3: Cross multiply
    341,922.70x = 512,884.05 × 105,337.90
  4. Step 4: Simplify right side
    341,922.70x = 54,026,128,770.50
  5. Step 5: Solve for x
    x = 54,026,128,770.50/341,922.70
  6. Step 6: Final answer
    x = 158,006.85

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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.