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Finding the Fourth Proportional to 146,573.42, 202,254.32 and 82,046.27

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Solution

The fourth proportional to 146,573.42, 202,254.32 and 82,046.27 is: 113,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,573.42 : 202,254.32 = 82,046.27 : x
  2. Step 2: Convert to fraction form
    146,573.42/202,254.32 = 82,046.27/x
  3. Step 3: Cross multiply
    146,573.42x = 202,254.32 × 82,046.27
  4. Step 4: Simplify right side
    146,573.42x = 16,594,212,547.39
  5. Step 5: Solve for x
    x = 16,594,212,547.39/146,573.42
  6. Step 6: Final answer
    x = 113,214.34

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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.