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Finding the Fourth Proportional to 102,005.42, 152,878.58 and 57,657.11

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Solution

The fourth proportional to 102,005.42, 152,878.58 and 57,657.11 is: 86,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.42 : 152,878.58 = 57,657.11 : x
  2. Step 2: Convert to fraction form
    102,005.42/152,878.58 = 57,657.11/x
  3. Step 3: Cross multiply
    102,005.42x = 152,878.58 × 57,657.11
  4. Step 4: Simplify right side
    102,005.42x = 8,814,536,815.42
  5. Step 5: Solve for x
    x = 8,814,536,815.42/102,005.42
  6. Step 6: Final answer
    x = 86,412.44

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