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Finding the Fourth Proportional to 260,892.64, 360,037.65 and 146,179.81

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Solution

The fourth proportional to 260,892.64, 360,037.65 and 146,179.81 is: 201,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,892.64 : 360,037.65 = 146,179.81 : x
  2. Step 2: Convert to fraction form
    260,892.64/360,037.65 = 146,179.81/x
  3. Step 3: Cross multiply
    260,892.64x = 360,037.65 × 146,179.81
  4. Step 4: Simplify right side
    260,892.64x = 52,630,235,269.85
  5. Step 5: Solve for x
    x = 52,630,235,269.85/260,892.64
  6. Step 6: Final answer
    x = 201,731.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.