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Finding the Fourth Proportional to 206,835.52, 310,254.09 and 136,699.24

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Solution

The fourth proportional to 206,835.52, 310,254.09 and 136,699.24 is: 205,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,835.52 : 310,254.09 = 136,699.24 : x
  2. Step 2: Convert to fraction form
    206,835.52/310,254.09 = 136,699.24/x
  3. Step 3: Cross multiply
    206,835.52x = 310,254.09 × 136,699.24
  4. Step 4: Simplify right side
    206,835.52x = 42,411,498,309.89
  5. Step 5: Solve for x
    x = 42,411,498,309.89/206,835.52
  6. Step 6: Final answer
    x = 205,049.40

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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.