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Finding the Fourth Proportional to 205,714.84, 308,552.28 and 139,579.96

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Solution

The fourth proportional to 205,714.84, 308,552.28 and 139,579.96 is: 209,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.84 : 308,552.28 = 139,579.96 : x
  2. Step 2: Convert to fraction form
    205,714.84/308,552.28 = 139,579.96/x
  3. Step 3: Cross multiply
    205,714.84x = 308,552.28 × 139,579.96
  4. Step 4: Simplify right side
    205,714.84x = 43,067,714,900.31
  5. Step 5: Solve for x
    x = 43,067,714,900.31/205,714.84
  6. Step 6: Final answer
    x = 209,356.38

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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.