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Finding the Fourth Proportional to 131,409.90, 197,146.17 and 42,663.60

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Solution

The fourth proportional to 131,409.90, 197,146.17 and 42,663.60 is: 64,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,409.90 : 197,146.17 = 42,663.60 : x
  2. Step 2: Convert to fraction form
    131,409.90/197,146.17 = 42,663.60/x
  3. Step 3: Cross multiply
    131,409.90x = 197,146.17 × 42,663.60
  4. Step 4: Simplify right side
    131,409.90x = 8,410,965,338.41
  5. Step 5: Solve for x
    x = 8,410,965,338.41/131,409.90
  6. Step 6: Final answer
    x = 64,005.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.