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Finding the Fourth Proportional to 172,446.40, 258,677.70 and 54,121.60

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Solution

The fourth proportional to 172,446.40, 258,677.70 and 54,121.60 is: 81,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,446.40 : 258,677.70 = 54,121.60 : x
  2. Step 2: Convert to fraction form
    172,446.40/258,677.70 = 54,121.60/x
  3. Step 3: Cross multiply
    172,446.40x = 258,677.70 × 54,121.60
  4. Step 4: Simplify right side
    172,446.40x = 14,000,051,008.32
  5. Step 5: Solve for x
    x = 14,000,051,008.32/172,446.40
  6. Step 6: Final answer
    x = 81,184.94

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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.