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Finding the Fourth Proportional to 146,003.84, 201,484.32 and 82,342.16

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Solution

The fourth proportional to 146,003.84, 201,484.32 and 82,342.16 is: 113,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,003.84 : 201,484.32 = 82,342.16 : x
  2. Step 2: Convert to fraction form
    146,003.84/201,484.32 = 82,342.16/x
  3. Step 3: Cross multiply
    146,003.84x = 201,484.32 × 82,342.16
  4. Step 4: Simplify right side
    146,003.84x = 16,590,654,114.93
  5. Step 5: Solve for x
    x = 16,590,654,114.93/146,003.84
  6. Step 6: Final answer
    x = 113,631.63

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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.