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Finding the Fourth Proportional to 173,197.80, 259,748.10 and 54,905.40

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Solution

The fourth proportional to 173,197.80, 259,748.10 and 54,905.40 is: 82,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,197.80 : 259,748.10 = 54,905.40 : x
  2. Step 2: Convert to fraction form
    173,197.80/259,748.10 = 54,905.40/x
  3. Step 3: Cross multiply
    173,197.80x = 259,748.10 × 54,905.40
  4. Step 4: Simplify right side
    173,197.80x = 14,261,573,329.74
  5. Step 5: Solve for x
    x = 14,261,573,329.74/173,197.80
  6. Step 6: Final answer
    x = 82,342.69

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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.