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Finding the Fourth Proportional to 178,951.56, 268,360.86 and 52,557

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Solution

The fourth proportional to 178,951.56, 268,360.86 and 52,557 is: 78,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,951.56 : 268,360.86 = 52,557 : x
  2. Step 2: Convert to fraction form
    178,951.56/268,360.86 = 52,557/x
  3. Step 3: Cross multiply
    178,951.56x = 268,360.86 × 52,557
  4. Step 4: Simplify right side
    178,951.56x = 14,104,241,719.02
  5. Step 5: Solve for x
    x = 14,104,241,719.02/178,951.56
  6. Step 6: Final answer
    x = 78,815.98

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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.