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Finding the Fourth Proportional to 146,461.75, 219,692.67 and 35,653.75

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Solution

The fourth proportional to 146,461.75, 219,692.67 and 35,653.75 is: 53,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,461.75 : 219,692.67 = 35,653.75 : x
  2. Step 2: Convert to fraction form
    146,461.75/219,692.67 = 35,653.75/x
  3. Step 3: Cross multiply
    146,461.75x = 219,692.67 × 35,653.75
  4. Step 4: Simplify right side
    146,461.75x = 7,832,867,533.01
  5. Step 5: Solve for x
    x = 7,832,867,533.01/146,461.75
  6. Step 6: Final answer
    x = 53,480.64

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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.