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Finding the Fourth Proportional to 102,005.40, 152,852.58 and 52,083.48

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Solution

The fourth proportional to 102,005.40, 152,852.58 and 52,083.48 is: 78,045.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.40 : 152,852.58 = 52,083.48 : x
  2. Step 2: Convert to fraction form
    102,005.40/152,852.58 = 52,083.48/x
  3. Step 3: Cross multiply
    102,005.40x = 152,852.58 × 52,083.48
  4. Step 4: Simplify right side
    102,005.40x = 7,961,094,293.38
  5. Step 5: Solve for x
    x = 7,961,094,293.38/102,005.40
  6. Step 6: Final answer
    x = 78,045.81

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