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Finding the Fourth Proportional to 119,023.29, 164,234.79 and 71,266.50

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Solution

The fourth proportional to 119,023.29, 164,234.79 and 71,266.50 is: 98,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,023.29 : 164,234.79 = 71,266.50 : x
  2. Step 2: Convert to fraction form
    119,023.29/164,234.79 = 71,266.50/x
  3. Step 3: Cross multiply
    119,023.29x = 164,234.79 × 71,266.50
  4. Step 4: Simplify right side
    119,023.29x = 11,704,438,661.54
  5. Step 5: Solve for x
    x = 11,704,438,661.54/119,023.29
  6. Step 6: Final answer
    x = 98,337.38

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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.