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Finding the Fourth Proportional to 194,437.27, 268,323.27 and 105,013.27

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Solution

The fourth proportional to 194,437.27, 268,323.27 and 105,013.27 is: 144,918.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,437.27 : 268,323.27 = 105,013.27 : x
  2. Step 2: Convert to fraction form
    194,437.27/268,323.27 = 105,013.27/x
  3. Step 3: Cross multiply
    194,437.27x = 268,323.27 × 105,013.27
  4. Step 4: Simplify right side
    194,437.27x = 28,177,503,999.79
  5. Step 5: Solve for x
    x = 28,177,503,999.79/194,437.27
  6. Step 6: Final answer
    x = 144,918.22

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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.