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Finding the Fourth Proportional to 146,383.70, 219,903.60 and 140,405.90

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Solution

The fourth proportional to 146,383.70, 219,903.60 and 140,405.90 is: 210,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,383.70 : 219,903.60 = 140,405.90 : x
  2. Step 2: Convert to fraction form
    146,383.70/219,903.60 = 140,405.90/x
  3. Step 3: Cross multiply
    146,383.70x = 219,903.60 × 140,405.90
  4. Step 4: Simplify right side
    146,383.70x = 30,875,762,871.24
  5. Step 5: Solve for x
    x = 30,875,762,871.24/146,383.70
  6. Step 6: Final answer
    x = 210,923.50

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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.