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Finding the Fourth Proportional to 358,877.54, 538,395.14 and 106,138.33

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Solution

The fourth proportional to 358,877.54, 538,395.14 and 106,138.33 is: 159,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,877.54 : 538,395.14 = 106,138.33 : x
  2. Step 2: Convert to fraction form
    358,877.54/538,395.14 = 106,138.33/x
  3. Step 3: Cross multiply
    358,877.54x = 538,395.14 × 106,138.33
  4. Step 4: Simplify right side
    358,877.54x = 57,144,359,663.27
  5. Step 5: Solve for x
    x = 57,144,359,663.27/358,877.54
  6. Step 6: Final answer
    x = 159,230.81

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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.