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Finding the Fourth Proportional to 174,533.20, 240,852.36 and 102,916.24

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Solution

The fourth proportional to 174,533.20, 240,852.36 and 102,916.24 is: 142,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,533.20 : 240,852.36 = 102,916.24 : x
  2. Step 2: Convert to fraction form
    174,533.20/240,852.36 = 102,916.24/x
  3. Step 3: Cross multiply
    174,533.20x = 240,852.36 × 102,916.24
  4. Step 4: Simplify right side
    174,533.20x = 24,787,619,286.33
  5. Step 5: Solve for x
    x = 24,787,619,286.33/174,533.20
  6. Step 6: Final answer
    x = 142,022.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.