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Finding the Fourth Proportional to 178,063.30, 267,108.78 and 51,705.63

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Solution

The fourth proportional to 178,063.30, 267,108.78 and 51,705.63 is: 77,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,063.30 : 267,108.78 = 51,705.63 : x
  2. Step 2: Convert to fraction form
    178,063.30/267,108.78 = 51,705.63/x
  3. Step 3: Cross multiply
    178,063.30x = 267,108.78 × 51,705.63
  4. Step 4: Simplify right side
    178,063.30x = 13,811,027,748.43
  5. Step 5: Solve for x
    x = 13,811,027,748.43/178,063.30
  6. Step 6: Final answer
    x = 77,562.46

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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.