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Finding the Fourth Proportional to 178,899.76, 246,861.84 and 107,282.80

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Solution

The fourth proportional to 178,899.76, 246,861.84 and 107,282.80 is: 148,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,899.76 : 246,861.84 = 107,282.80 : x
  2. Step 2: Convert to fraction form
    178,899.76/246,861.84 = 107,282.80/x
  3. Step 3: Cross multiply
    178,899.76x = 246,861.84 × 107,282.80
  4. Step 4: Simplify right side
    178,899.76x = 26,484,029,408.35
  5. Step 5: Solve for x
    x = 26,484,029,408.35/178,899.76
  6. Step 6: Final answer
    x = 148,038.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.