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Finding the Fourth Proportional to 178,406.50, 267,583.70 and 52,012.78

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Solution

The fourth proportional to 178,406.50, 267,583.70 and 52,012.78 is: 78,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,406.50 : 267,583.70 = 52,012.78 : x
  2. Step 2: Convert to fraction form
    178,406.50/267,583.70 = 52,012.78/x
  3. Step 3: Cross multiply
    178,406.50x = 267,583.70 × 52,012.78
  4. Step 4: Simplify right side
    178,406.50x = 13,917,773,085.92
  5. Step 5: Solve for x
    x = 13,917,773,085.92/178,406.50
  6. Step 6: Final answer
    x = 78,011.58

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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.