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Finding the Fourth Proportional to 149,038.56, 205,532.62 and 97,961.04

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Solution

The fourth proportional to 149,038.56, 205,532.62 and 97,961.04 is: 135,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,038.56 : 205,532.62 = 97,961.04 : x
  2. Step 2: Convert to fraction form
    149,038.56/205,532.62 = 97,961.04/x
  3. Step 3: Cross multiply
    149,038.56x = 205,532.62 × 97,961.04
  4. Step 4: Simplify right side
    149,038.56x = 20,134,189,209.12
  5. Step 5: Solve for x
    x = 20,134,189,209.12/149,038.56
  6. Step 6: Final answer
    x = 135,093.83

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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.