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Finding the Fourth Proportional to 443,234.16, 664,846.92 and 110,810.16

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Solution

The fourth proportional to 443,234.16, 664,846.92 and 110,810.16 is: 166,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,234.16 : 664,846.92 = 110,810.16 : x
  2. Step 2: Convert to fraction form
    443,234.16/664,846.92 = 110,810.16/x
  3. Step 3: Cross multiply
    443,234.16x = 664,846.92 × 110,810.16
  4. Step 4: Simplify right side
    443,234.16x = 73,671,793,580.71
  5. Step 5: Solve for x
    x = 73,671,793,580.71/443,234.16
  6. Step 6: Final answer
    x = 166,214.16

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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.