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Finding the Fourth Proportional to 131,714.24, 181,824 and 84,030.08

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Solution

The fourth proportional to 131,714.24, 181,824 and 84,030.08 is: 115,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,714.24 : 181,824 = 84,030.08 : x
  2. Step 2: Convert to fraction form
    131,714.24/181,824 = 84,030.08/x
  3. Step 3: Cross multiply
    131,714.24x = 181,824 × 84,030.08
  4. Step 4: Simplify right side
    131,714.24x = 15,278,685,265.92
  5. Step 5: Solve for x
    x = 15,278,685,265.92/131,714.24
  6. Step 6: Final answer
    x = 115,998.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.