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Finding the Fourth Proportional to 178,972.50, 268,460.37 and 54,313.50

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Solution

The fourth proportional to 178,972.50, 268,460.37 and 54,313.50 is: 81,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,972.50 : 268,460.37 = 54,313.50 : x
  2. Step 2: Convert to fraction form
    178,972.50/268,460.37 = 54,313.50/x
  3. Step 3: Cross multiply
    178,972.50x = 268,460.37 × 54,313.50
  4. Step 4: Simplify right side
    178,972.50x = 14,581,022,306.00
  5. Step 5: Solve for x
    x = 14,581,022,306.00/178,972.50
  6. Step 6: Final answer
    x = 81,470.74

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Why These Related Problems?

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