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Finding the Fourth Proportional to 358,883.14, 538,324.64 and 106,143.93

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Solution

The fourth proportional to 358,883.14, 538,324.64 and 106,143.93 is: 159,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,883.14 : 538,324.64 = 106,143.93 : x
  2. Step 2: Convert to fraction form
    358,883.14/538,324.64 = 106,143.93/x
  3. Step 3: Cross multiply
    358,883.14x = 538,324.64 × 106,143.93
  4. Step 4: Simplify right side
    358,883.14x = 57,139,892,905.44
  5. Step 5: Solve for x
    x = 57,139,892,905.44/358,883.14
  6. Step 6: Final answer
    x = 159,215.87

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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.