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Finding the Fourth Proportional to 105,813.14, 145,970.10 and 77,088.11

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Solution

The fourth proportional to 105,813.14, 145,970.10 and 77,088.11 is: 106,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,813.14 : 145,970.10 = 77,088.11 : x
  2. Step 2: Convert to fraction form
    105,813.14/145,970.10 = 77,088.11/x
  3. Step 3: Cross multiply
    105,813.14x = 145,970.10 × 77,088.11
  4. Step 4: Simplify right side
    105,813.14x = 11,252,558,395.66
  5. Step 5: Solve for x
    x = 11,252,558,395.66/105,813.14
  6. Step 6: Final answer
    x = 106,343.68

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