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Finding the Fourth Proportional to 272,586.96, 409,187.16 and 114,948

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Solution

The fourth proportional to 272,586.96, 409,187.16 and 114,948 is: 172,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,586.96 : 409,187.16 = 114,948 : x
  2. Step 2: Convert to fraction form
    272,586.96/409,187.16 = 114,948/x
  3. Step 3: Cross multiply
    272,586.96x = 409,187.16 × 114,948
  4. Step 4: Simplify right side
    272,586.96x = 47,035,245,667.68
  5. Step 5: Solve for x
    x = 47,035,245,667.68/272,586.96
  6. Step 6: Final answer
    x = 172,551.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.