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Finding the Fourth Proportional to 205,590.36, 283,713.66 and 119,518.68

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Solution

The fourth proportional to 205,590.36, 283,713.66 and 119,518.68 is: 164,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,590.36 : 283,713.66 = 119,518.68 : x
  2. Step 2: Convert to fraction form
    205,590.36/283,713.66 = 119,518.68/x
  3. Step 3: Cross multiply
    205,590.36x = 283,713.66 × 119,518.68
  4. Step 4: Simplify right side
    205,590.36x = 33,909,082,141.17
  5. Step 5: Solve for x
    x = 33,909,082,141.17/205,590.36
  6. Step 6: Final answer
    x = 164,935.18

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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.