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Finding the Fourth Proportional to 253,474.30, 349,811.46 and 146,051.29

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Solution

The fourth proportional to 253,474.30, 349,811.46 and 146,051.29 is: 201,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,474.30 : 349,811.46 = 146,051.29 : x
  2. Step 2: Convert to fraction form
    253,474.30/349,811.46 = 146,051.29/x
  3. Step 3: Cross multiply
    253,474.30x = 349,811.46 × 146,051.29
  4. Step 4: Simplify right side
    253,474.30x = 51,090,414,989.78
  5. Step 5: Solve for x
    x = 51,090,414,989.78/253,474.30
  6. Step 6: Final answer
    x = 201,560.53

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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.