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Finding the Fourth Proportional to 130,969.64, 196,481.76 and 42,232.10

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Solution

The fourth proportional to 130,969.64, 196,481.76 and 42,232.10 is: 63,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,969.64 : 196,481.76 = 42,232.10 : x
  2. Step 2: Convert to fraction form
    130,969.64/196,481.76 = 42,232.10/x
  3. Step 3: Cross multiply
    130,969.64x = 196,481.76 × 42,232.10
  4. Step 4: Simplify right side
    130,969.64x = 8,297,837,336.50
  5. Step 5: Solve for x
    x = 8,297,837,336.50/130,969.64
  6. Step 6: Final answer
    x = 63,356.95

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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.