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Finding the Fourth Proportional to 158,223.76, 218,379.92 and 119,916.49

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Solution

The fourth proportional to 158,223.76, 218,379.92 and 119,916.49 is: 165,508.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,223.76 : 218,379.92 = 119,916.49 : x
  2. Step 2: Convert to fraction form
    158,223.76/218,379.92 = 119,916.49/x
  3. Step 3: Cross multiply
    158,223.76x = 218,379.92 × 119,916.49
  4. Step 4: Simplify right side
    158,223.76x = 26,187,353,166.27
  5. Step 5: Solve for x
    x = 26,187,353,166.27/158,223.76
  6. Step 6: Final answer
    x = 165,508.35

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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.