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Finding the Fourth Proportional to 294,031.15, 405,755.12 and 164,958.86

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Solution

The fourth proportional to 294,031.15, 405,755.12 and 164,958.86 is: 227,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,031.15 : 405,755.12 = 164,958.86 : x
  2. Step 2: Convert to fraction form
    294,031.15/405,755.12 = 164,958.86/x
  3. Step 3: Cross multiply
    294,031.15x = 405,755.12 × 164,958.86
  4. Step 4: Simplify right side
    294,031.15x = 66,932,903,461.15
  5. Step 5: Solve for x
    x = 66,932,903,461.15/294,031.15
  6. Step 6: Final answer
    x = 227,638.82

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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.