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Finding the Fourth Proportional to 204,885.84, 282,741.30 and 114,242.89

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Solution

The fourth proportional to 204,885.84, 282,741.30 and 114,242.89 is: 157,654.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,885.84 : 282,741.30 = 114,242.89 : x
  2. Step 2: Convert to fraction form
    204,885.84/282,741.30 = 114,242.89/x
  3. Step 3: Cross multiply
    204,885.84x = 282,741.30 × 114,242.89
  4. Step 4: Simplify right side
    204,885.84x = 32,301,183,234.36
  5. Step 5: Solve for x
    x = 32,301,183,234.36/204,885.84
  6. Step 6: Final answer
    x = 157,654.54

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1.5x scale

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.