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Finding the Fourth Proportional to 131,449.40, 197,174.10 and 96,025.40

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Solution

The fourth proportional to 131,449.40, 197,174.10 and 96,025.40 is: 144,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,449.40 : 197,174.10 = 96,025.40 : x
  2. Step 2: Convert to fraction form
    131,449.40/197,174.10 = 96,025.40/x
  3. Step 3: Cross multiply
    131,449.40x = 197,174.10 × 96,025.40
  4. Step 4: Simplify right side
    131,449.40x = 18,933,721,822.14
  5. Step 5: Solve for x
    x = 18,933,721,822.14/131,449.40
  6. Step 6: Final answer
    x = 144,038.10

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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.