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Finding the Fourth Proportional to 358,882.14, 538,323.14 and 106,142.93

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Solution

The fourth proportional to 358,882.14, 538,323.14 and 106,142.93 is: 159,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,882.14 : 538,323.14 = 106,142.93 : x
  2. Step 2: Convert to fraction form
    358,882.14/538,323.14 = 106,142.93/x
  3. Step 3: Cross multiply
    358,882.14x = 538,323.14 × 106,142.93
  4. Step 4: Simplify right side
    358,882.14x = 57,139,196,174.36
  5. Step 5: Solve for x
    x = 57,139,196,174.36/358,882.14
  6. Step 6: Final answer
    x = 159,214.37

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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.