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Finding the Fourth Proportional to 189,245.57, 261,155.59 and 103,205.21

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Solution

The fourth proportional to 189,245.57, 261,155.59 and 103,205.21 is: 142,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,245.57 : 261,155.59 = 103,205.21 : x
  2. Step 2: Convert to fraction form
    189,245.57/261,155.59 = 103,205.21/x
  3. Step 3: Cross multiply
    189,245.57x = 261,155.59 × 103,205.21
  4. Step 4: Simplify right side
    189,245.57x = 26,952,615,944.83
  5. Step 5: Solve for x
    x = 26,952,615,944.83/189,245.57
  6. Step 6: Final answer
    x = 142,421.39

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Why These Related Problems?

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