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Finding the Fourth Proportional to 175,023.20, 262,470 and 137,656

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Solution

The fourth proportional to 175,023.20, 262,470 and 137,656 is: 206,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,023.20 : 262,470 = 137,656 : x
  2. Step 2: Convert to fraction form
    175,023.20/262,470 = 137,656/x
  3. Step 3: Cross multiply
    175,023.20x = 262,470 × 137,656
  4. Step 4: Simplify right side
    175,023.20x = 36,130,570,320
  5. Step 5: Solve for x
    x = 36,130,570,320/175,023.20
  6. Step 6: Final answer
    x = 206,433.03

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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.