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Finding the Fourth Proportional to 143,223.64, 214,840.86 and 54,460.60

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Solution

The fourth proportional to 143,223.64, 214,840.86 and 54,460.60 is: 81,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,223.64 : 214,840.86 = 54,460.60 : x
  2. Step 2: Convert to fraction form
    143,223.64/214,840.86 = 54,460.60/x
  3. Step 3: Cross multiply
    143,223.64x = 214,840.86 × 54,460.60
  4. Step 4: Simplify right side
    143,223.64x = 11,700,362,140.12
  5. Step 5: Solve for x
    x = 11,700,362,140.12/143,223.64
  6. Step 6: Final answer
    x = 81,692.95

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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.