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Finding the Fourth Proportional to 146,047.04, 201,522.12 and 82,383.20

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Solution

The fourth proportional to 146,047.04, 201,522.12 and 82,383.20 is: 113,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,047.04 : 201,522.12 = 82,383.20 : x
  2. Step 2: Convert to fraction form
    146,047.04/201,522.12 = 82,383.20/x
  3. Step 3: Cross multiply
    146,047.04x = 201,522.12 × 82,383.20
  4. Step 4: Simplify right side
    146,047.04x = 16,602,037,116.38
  5. Step 5: Solve for x
    x = 16,602,037,116.38/146,047.04
  6. Step 6: Final answer
    x = 113,675.96

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Why These Related Problems?

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