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Finding the Fourth Proportional to 103,933.30, 155,510.70 and 74,016.70

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Solution

The fourth proportional to 103,933.30, 155,510.70 and 74,016.70 is: 110,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,933.30 : 155,510.70 = 74,016.70 : x
  2. Step 2: Convert to fraction form
    103,933.30/155,510.70 = 74,016.70/x
  3. Step 3: Cross multiply
    103,933.30x = 155,510.70 × 74,016.70
  4. Step 4: Simplify right side
    103,933.30x = 11,510,388,828.69
  5. Step 5: Solve for x
    x = 11,510,388,828.69/103,933.30
  6. Step 6: Final answer
    x = 110,747.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.