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Finding the Fourth Proportional to 167,409.18, 230,922.36 and 99,379.98

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Solution

The fourth proportional to 167,409.18, 230,922.36 and 99,379.98 is: 137,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,409.18 : 230,922.36 = 99,379.98 : x
  2. Step 2: Convert to fraction form
    167,409.18/230,922.36 = 99,379.98/x
  3. Step 3: Cross multiply
    167,409.18x = 230,922.36 × 99,379.98
  4. Step 4: Simplify right side
    167,409.18x = 22,949,059,518.35
  5. Step 5: Solve for x
    x = 22,949,059,518.35/167,409.18
  6. Step 6: Final answer
    x = 137,083.64

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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.