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Finding the Fourth Proportional to 205,362.14, 283,383.36 and 114,710.99

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Solution

The fourth proportional to 205,362.14, 283,383.36 and 114,710.99 is: 158,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,362.14 : 283,383.36 = 114,710.99 : x
  2. Step 2: Convert to fraction form
    205,362.14/283,383.36 = 114,710.99/x
  3. Step 3: Cross multiply
    205,362.14x = 283,383.36 × 114,710.99
  4. Step 4: Simplify right side
    205,362.14x = 32,507,184,358.21
  5. Step 5: Solve for x
    x = 32,507,184,358.21/205,362.14
  6. Step 6: Final answer
    x = 158,292.01

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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.