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Finding the Fourth Proportional to 137,071.40, 205,607.10 and 131,822.60

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Solution

The fourth proportional to 137,071.40, 205,607.10 and 131,822.60 is: 197,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,071.40 : 205,607.10 = 131,822.60 : x
  2. Step 2: Convert to fraction form
    137,071.40/205,607.10 = 131,822.60/x
  3. Step 3: Cross multiply
    137,071.40x = 205,607.10 × 131,822.60
  4. Step 4: Simplify right side
    137,071.40x = 27,103,662,500.46
  5. Step 5: Solve for x
    x = 27,103,662,500.46/137,071.40
  6. Step 6: Final answer
    x = 197,733.90

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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.