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Finding the Fourth Proportional to 119,714, 179,596.92 and 45,842

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Solution

The fourth proportional to 119,714, 179,596.92 and 45,842 is: 68,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,714 : 179,596.92 = 45,842 : x
  2. Step 2: Convert to fraction form
    119,714/179,596.92 = 45,842/x
  3. Step 3: Cross multiply
    119,714x = 179,596.92 × 45,842
  4. Step 4: Simplify right side
    119,714x = 8,233,082,006.64
  5. Step 5: Solve for x
    x = 8,233,082,006.64/119,714
  6. Step 6: Final answer
    x = 68,772.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.