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Finding the Fourth Proportional to 137,141.40, 205,712.10 and 131,892.60

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Solution

The fourth proportional to 137,141.40, 205,712.10 and 131,892.60 is: 197,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.40 : 205,712.10 = 131,892.60 : x
  2. Step 2: Convert to fraction form
    137,141.40/205,712.10 = 131,892.60/x
  3. Step 3: Cross multiply
    137,141.40x = 205,712.10 × 131,892.60
  4. Step 4: Simplify right side
    137,141.40x = 27,131,903,720.46
  5. Step 5: Solve for x
    x = 27,131,903,720.46/137,141.40
  6. Step 6: Final answer
    x = 197,838.90

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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.