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Finding the Fourth Proportional to 185,516.53, 256,018.42 and 104,942.49

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Solution

The fourth proportional to 185,516.53, 256,018.42 and 104,942.49 is: 144,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,516.53 : 256,018.42 = 104,942.49 : x
  2. Step 2: Convert to fraction form
    185,516.53/256,018.42 = 104,942.49/x
  3. Step 3: Cross multiply
    185,516.53x = 256,018.42 × 104,942.49
  4. Step 4: Simplify right side
    185,516.53x = 26,867,209,651.77
  5. Step 5: Solve for x
    x = 26,867,209,651.77/185,516.53
  6. Step 6: Final answer
    x = 144,823.81

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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.