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Finding the Fourth Proportional to 257,023.41, 354,692.26 and 143,846.16

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Solution

The fourth proportional to 257,023.41, 354,692.26 and 143,846.16 is: 198,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.41 : 354,692.26 = 143,846.16 : x
  2. Step 2: Convert to fraction form
    257,023.41/354,692.26 = 143,846.16/x
  3. Step 3: Cross multiply
    257,023.41x = 354,692.26 × 143,846.16
  4. Step 4: Simplify right side
    257,023.41x = 51,021,119,223.11
  5. Step 5: Solve for x
    x = 51,021,119,223.11/257,023.41
  6. Step 6: Final answer
    x = 198,507.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.