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Finding the Fourth Proportional to 119,021.55, 164,254.87 and 71,265.77

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Solution

The fourth proportional to 119,021.55, 164,254.87 and 71,265.77 is: 98,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,021.55 : 164,254.87 = 71,265.77 : x
  2. Step 2: Convert to fraction form
    119,021.55/164,254.87 = 71,265.77/x
  3. Step 3: Cross multiply
    119,021.55x = 164,254.87 × 71,265.77
  4. Step 4: Simplify right side
    119,021.55x = 11,705,749,786.80
  5. Step 5: Solve for x
    x = 11,705,749,786.80/119,021.55
  6. Step 6: Final answer
    x = 98,349.83

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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.