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Finding the Fourth Proportional to 185,821.19, 256,469.18 and 121,178.19

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Solution

The fourth proportional to 185,821.19, 256,469.18 and 121,178.19 is: 167,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,821.19 : 256,469.18 = 121,178.19 : x
  2. Step 2: Convert to fraction form
    185,821.19/256,469.18 = 121,178.19/x
  3. Step 3: Cross multiply
    185,821.19x = 256,469.18 × 121,178.19
  4. Step 4: Simplify right side
    185,821.19x = 31,078,470,417.29
  5. Step 5: Solve for x
    x = 31,078,470,417.29/185,821.19
  6. Step 6: Final answer
    x = 167,249.34

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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.