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Finding the Fourth Proportional to 189,778.25, 261,893.97 and 103,737.59

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Solution

The fourth proportional to 189,778.25, 261,893.97 and 103,737.59 is: 143,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778.25 : 261,893.97 = 103,737.59 : x
  2. Step 2: Convert to fraction form
    189,778.25/261,893.97 = 103,737.59/x
  3. Step 3: Cross multiply
    189,778.25x = 261,893.97 × 103,737.59
  4. Step 4: Simplify right side
    189,778.25x = 27,168,249,938.07
  5. Step 5: Solve for x
    x = 27,168,249,938.07/189,778.25
  6. Step 6: Final answer
    x = 143,157.87

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1.5x scale

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.