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Finding the Fourth Proportional to 205,048.82, 282,966.98 and 114,399.40

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Solution

The fourth proportional to 205,048.82, 282,966.98 and 114,399.40 is: 157,870.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.82 : 282,966.98 = 114,399.40 : x
  2. Step 2: Convert to fraction form
    205,048.82/282,966.98 = 114,399.40/x
  3. Step 3: Cross multiply
    205,048.82x = 282,966.98 × 114,399.40
  4. Step 4: Simplify right side
    205,048.82x = 32,371,251,316.98
  5. Step 5: Solve for x
    x = 32,371,251,316.98/205,048.82
  6. Step 6: Final answer
    x = 157,870.95

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