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Finding the Fourth Proportional to 253,818.64, 350,283.72 and 140,638.96

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Solution

The fourth proportional to 253,818.64, 350,283.72 and 140,638.96 is: 194,089.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,818.64 : 350,283.72 = 140,638.96 : x
  2. Step 2: Convert to fraction form
    253,818.64/350,283.72 = 140,638.96/x
  3. Step 3: Cross multiply
    253,818.64x = 350,283.72 × 140,638.96
  4. Step 4: Simplify right side
    253,818.64x = 49,263,538,085.73
  5. Step 5: Solve for x
    x = 49,263,538,085.73/253,818.64
  6. Step 6: Final answer
    x = 194,089.52

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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.