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Finding the Fourth Proportional to 253,704.63, 350,123.93 and 140,527.38

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Solution

The fourth proportional to 253,704.63, 350,123.93 and 140,527.38 is: 193,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,704.63 : 350,123.93 = 140,527.38 : x
  2. Step 2: Convert to fraction form
    253,704.63/350,123.93 = 140,527.38/x
  3. Step 3: Cross multiply
    253,704.63x = 350,123.93 × 140,527.38
  4. Step 4: Simplify right side
    253,704.63x = 49,201,998,558.20
  5. Step 5: Solve for x
    x = 49,201,998,558.20/253,704.63
  6. Step 6: Final answer
    x = 193,934.18

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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.