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Finding the Fourth Proportional to 101,356.84, 152,012.16 and 38,183.50

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Solution

The fourth proportional to 101,356.84, 152,012.16 and 38,183.50 is: 57,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,356.84 : 152,012.16 = 38,183.50 : x
  2. Step 2: Convert to fraction form
    101,356.84/152,012.16 = 38,183.50/x
  3. Step 3: Cross multiply
    101,356.84x = 152,012.16 × 38,183.50
  4. Step 4: Simplify right side
    101,356.84x = 5,804,356,311.36
  5. Step 5: Solve for x
    x = 5,804,356,311.36/101,356.84
  6. Step 6: Final answer
    x = 57,266.55

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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.