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Finding the Fourth Proportional to 135,022.60, 202,533.90 and 114,027.40

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Solution

The fourth proportional to 135,022.60, 202,533.90 and 114,027.40 is: 171,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,022.60 : 202,533.90 = 114,027.40 : x
  2. Step 2: Convert to fraction form
    135,022.60/202,533.90 = 114,027.40/x
  3. Step 3: Cross multiply
    135,022.60x = 202,533.90 × 114,027.40
  4. Step 4: Simplify right side
    135,022.60x = 23,094,414,028.86
  5. Step 5: Solve for x
    x = 23,094,414,028.86/135,022.60
  6. Step 6: Final answer
    x = 171,041.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.