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Finding the Fourth Proportional to 205,048.32, 282,966.29 and 114,398.90

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Solution

The fourth proportional to 205,048.32, 282,966.29 and 114,398.90 is: 157,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048.32 : 282,966.29 = 114,398.90 : x
  2. Step 2: Convert to fraction form
    205,048.32/282,966.29 = 114,398.90/x
  3. Step 3: Cross multiply
    205,048.32x = 282,966.29 × 114,398.90
  4. Step 4: Simplify right side
    205,048.32x = 32,371,030,898.25
  5. Step 5: Solve for x
    x = 32,371,030,898.25/205,048.32
  6. Step 6: Final answer
    x = 157,870.26

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