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Finding the Fourth Proportional to 206,455.20, 309,526.93 and 135,395.74

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Solution

The fourth proportional to 206,455.20, 309,526.93 and 135,395.74 is: 202,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,455.20 : 309,526.93 = 135,395.74 : x
  2. Step 2: Convert to fraction form
    206,455.20/309,526.93 = 135,395.74/x
  3. Step 3: Cross multiply
    206,455.20x = 309,526.93 × 135,395.74
  4. Step 4: Simplify right side
    206,455.20x = 41,908,625,512.66
  5. Step 5: Solve for x
    x = 41,908,625,512.66/206,455.20
  6. Step 6: Final answer
    x = 202,991.38

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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.