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Finding the Fourth Proportional to 253,877.10, 350,338.14 and 146,481.77

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Solution

The fourth proportional to 253,877.10, 350,338.14 and 146,481.77 is: 202,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,877.10 : 350,338.14 = 146,481.77 : x
  2. Step 2: Convert to fraction form
    253,877.10/350,338.14 = 146,481.77/x
  3. Step 3: Cross multiply
    253,877.10x = 350,338.14 × 146,481.77
  4. Step 4: Simplify right side
    253,877.10x = 51,318,149,094.02
  5. Step 5: Solve for x
    x = 51,318,149,094.02/253,877.10
  6. Step 6: Final answer
    x = 202,137.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.