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Finding the Fourth Proportional to 144,692.76, 217,371.81 and 102,096.24

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Solution

The fourth proportional to 144,692.76, 217,371.81 and 102,096.24 is: 153,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,692.76 : 217,371.81 = 102,096.24 : x
  2. Step 2: Convert to fraction form
    144,692.76/217,371.81 = 102,096.24/x
  3. Step 3: Cross multiply
    144,692.76x = 217,371.81 × 102,096.24
  4. Step 4: Simplify right side
    144,692.76x = 22,192,844,482.99
  5. Step 5: Solve for x
    x = 22,192,844,482.99/144,692.76
  6. Step 6: Final answer
    x = 153,379.09

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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.