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Finding the Fourth Proportional to 206,124.30, 284,459.72 and 115,481.03

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Solution

The fourth proportional to 206,124.30, 284,459.72 and 115,481.03 is: 159,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,124.30 : 284,459.72 = 115,481.03 : x
  2. Step 2: Convert to fraction form
    206,124.30/284,459.72 = 115,481.03/x
  3. Step 3: Cross multiply
    206,124.30x = 284,459.72 × 115,481.03
  4. Step 4: Simplify right side
    206,124.30x = 32,849,699,459.41
  5. Step 5: Solve for x
    x = 32,849,699,459.41/206,124.30
  6. Step 6: Final answer
    x = 159,368.40

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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.