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Finding the Fourth Proportional to 135,856.64, 203,563.60 and 83,155.52

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Solution

The fourth proportional to 135,856.64, 203,563.60 and 83,155.52 is: 124,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,856.64 : 203,563.60 = 83,155.52 : x
  2. Step 2: Convert to fraction form
    135,856.64/203,563.60 = 83,155.52/x
  3. Step 3: Cross multiply
    135,856.64x = 203,563.60 × 83,155.52
  4. Step 4: Simplify right side
    135,856.64x = 16,927,437,011.07
  5. Step 5: Solve for x
    x = 16,927,437,011.07/135,856.64
  6. Step 6: Final answer
    x = 124,597.79

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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.