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Finding the Fourth Proportional to 146,142.32, 219,219.86 and 46,309.87

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Solution

The fourth proportional to 146,142.32, 219,219.86 and 46,309.87 is: 69,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142.32 : 219,219.86 = 46,309.87 : x
  2. Step 2: Convert to fraction form
    146,142.32/219,219.86 = 46,309.87/x
  3. Step 3: Cross multiply
    146,142.32x = 219,219.86 × 46,309.87
  4. Step 4: Simplify right side
    146,142.32x = 10,152,043,218.02
  5. Step 5: Solve for x
    x = 10,152,043,218.02/146,142.32
  6. Step 6: Final answer
    x = 69,466.83

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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.