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Finding the Fourth Proportional to 257,370.12, 355,180.50 and 144,189

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Solution

The fourth proportional to 257,370.12, 355,180.50 and 144,189 is: 198,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,370.12 : 355,180.50 = 144,189 : x
  2. Step 2: Convert to fraction form
    257,370.12/355,180.50 = 144,189/x
  3. Step 3: Cross multiply
    257,370.12x = 355,180.50 × 144,189
  4. Step 4: Simplify right side
    257,370.12x = 51,213,121,114.50
  5. Step 5: Solve for x
    x = 51,213,121,114.50/257,370.12
  6. Step 6: Final answer
    x = 198,986.27

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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.