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Finding the Fourth Proportional to 178,903.35, 268,313.50 and 52,509.66

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Solution

The fourth proportional to 178,903.35, 268,313.50 and 52,509.66 is: 78,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,903.35 : 268,313.50 = 52,509.66 : x
  2. Step 2: Convert to fraction form
    178,903.35/268,313.50 = 52,509.66/x
  3. Step 3: Cross multiply
    178,903.35x = 268,313.50 × 52,509.66
  4. Step 4: Simplify right side
    178,903.35x = 14,089,049,940.41
  5. Step 5: Solve for x
    x = 14,089,049,940.41/178,903.35
  6. Step 6: Final answer
    x = 78,752.30

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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.