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Finding the Fourth Proportional to 164,499.40, 246,677.10 and 75,723.40

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Solution

The fourth proportional to 164,499.40, 246,677.10 and 75,723.40 is: 113,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,499.40 : 246,677.10 = 75,723.40 : x
  2. Step 2: Convert to fraction form
    164,499.40/246,677.10 = 75,723.40/x
  3. Step 3: Cross multiply
    164,499.40x = 246,677.10 × 75,723.40
  4. Step 4: Simplify right side
    164,499.40x = 18,679,228,714.14
  5. Step 5: Solve for x
    x = 18,679,228,714.14/164,499.40
  6. Step 6: Final answer
    x = 113,551.96

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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.