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Finding the Fourth Proportional to 105,742.80, 145,848.56 and 89,802

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Solution

The fourth proportional to 105,742.80, 145,848.56 and 89,802 is: 123,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,742.80 : 145,848.56 = 89,802 : x
  2. Step 2: Convert to fraction form
    105,742.80/145,848.56 = 89,802/x
  3. Step 3: Cross multiply
    105,742.80x = 145,848.56 × 89,802
  4. Step 4: Simplify right side
    105,742.80x = 13,097,492,385.12
  5. Step 5: Solve for x
    x = 13,097,492,385.12/105,742.80
  6. Step 6: Final answer
    x = 123,861.79

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