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Finding the Fourth Proportional to 253,097.27, 349,295.83 and 144,234.89

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Solution

The fourth proportional to 253,097.27, 349,295.83 and 144,234.89 is: 199,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,097.27 : 349,295.83 = 144,234.89 : x
  2. Step 2: Convert to fraction form
    253,097.27/349,295.83 = 144,234.89/x
  3. Step 3: Cross multiply
    253,097.27x = 349,295.83 × 144,234.89
  4. Step 4: Simplify right side
    253,097.27x = 50,380,646,130.16
  5. Step 5: Solve for x
    x = 50,380,646,130.16/253,097.27
  6. Step 6: Final answer
    x = 199,056.46

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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.