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Finding the Fourth Proportional to 111,424.38, 153,708.38 and 73,178.44

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Solution

The fourth proportional to 111,424.38, 153,708.38 and 73,178.44 is: 100,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,424.38 : 153,708.38 = 73,178.44 : x
  2. Step 2: Convert to fraction form
    111,424.38/153,708.38 = 73,178.44/x
  3. Step 3: Cross multiply
    111,424.38x = 153,708.38 × 73,178.44
  4. Step 4: Simplify right side
    111,424.38x = 11,248,139,463.33
  5. Step 5: Solve for x
    x = 11,248,139,463.33/111,424.38
  6. Step 6: Final answer
    x = 100,948.64

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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.