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Finding the Fourth Proportional to 228,039.13, 342,052.94 and 61,822.81

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Solution

The fourth proportional to 228,039.13, 342,052.94 and 61,822.81 is: 92,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,039.13 : 342,052.94 = 61,822.81 : x
  2. Step 2: Convert to fraction form
    228,039.13/342,052.94 = 61,822.81/x
  3. Step 3: Cross multiply
    228,039.13x = 342,052.94 × 61,822.81
  4. Step 4: Simplify right side
    228,039.13x = 21,146,673,610.45
  5. Step 5: Solve for x
    x = 21,146,673,610.45/228,039.13
  6. Step 6: Final answer
    x = 92,732.65

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Why These Related Problems?

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