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Finding the Fourth Proportional to 102,142.80, 153,214.56 and 49,654.80

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Solution

The fourth proportional to 102,142.80, 153,214.56 and 49,654.80 is: 74,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.80 : 153,214.56 = 49,654.80 : x
  2. Step 2: Convert to fraction form
    102,142.80/153,214.56 = 49,654.80/x
  3. Step 3: Cross multiply
    102,142.80x = 153,214.56 × 49,654.80
  4. Step 4: Simplify right side
    102,142.80x = 7,607,838,333.89
  5. Step 5: Solve for x
    x = 7,607,838,333.89/102,142.80
  6. Step 6: Final answer
    x = 74,482.38

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