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Finding the Fourth Proportional to 146,562.94, 202,261.44 and 82,899.46

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Solution

The fourth proportional to 146,562.94, 202,261.44 and 82,899.46 is: 114,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,562.94 : 202,261.44 = 82,899.46 : x
  2. Step 2: Convert to fraction form
    146,562.94/202,261.44 = 82,899.46/x
  3. Step 3: Cross multiply
    146,562.94x = 202,261.44 × 82,899.46
  4. Step 4: Simplify right side
    146,562.94x = 16,767,364,154.82
  5. Step 5: Solve for x
    x = 16,767,364,154.82/146,562.94
  6. Step 6: Final answer
    x = 114,403.85

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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.