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Finding the Fourth Proportional to 102,006.24, 152,725.56 and 51,978.48

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Solution

The fourth proportional to 102,006.24, 152,725.56 and 51,978.48 is: 77,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.24 : 152,725.56 = 51,978.48 : x
  2. Step 2: Convert to fraction form
    102,006.24/152,725.56 = 51,978.48/x
  3. Step 3: Cross multiply
    102,006.24x = 152,725.56 × 51,978.48
  4. Step 4: Simplify right side
    102,006.24x = 7,938,442,465.95
  5. Step 5: Solve for x
    x = 7,938,442,465.95/102,006.24
  6. Step 6: Final answer
    x = 77,823.11

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