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Finding the Fourth Proportional to 140,142.01, 210,206.16 and 40,301.41

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Solution

The fourth proportional to 140,142.01, 210,206.16 and 40,301.41 is: 60,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,142.01 : 210,206.16 = 40,301.41 : x
  2. Step 2: Convert to fraction form
    140,142.01/210,206.16 = 40,301.41/x
  3. Step 3: Cross multiply
    140,142.01x = 210,206.16 × 40,301.41
  4. Step 4: Simplify right side
    140,142.01x = 8,471,604,638.69
  5. Step 5: Solve for x
    x = 8,471,604,638.69/140,142.01
  6. Step 6: Final answer
    x = 60,450.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.