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Finding the Fourth Proportional to 358,879.54, 538,398.14 and 106,140.32

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Solution

The fourth proportional to 358,879.54, 538,398.14 and 106,140.32 is: 159,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,879.54 : 538,398.14 = 106,140.32 : x
  2. Step 2: Convert to fraction form
    358,879.54/538,398.14 = 106,140.32/x
  3. Step 3: Cross multiply
    358,879.54x = 538,398.14 × 106,140.32
  4. Step 4: Simplify right side
    358,879.54x = 57,145,750,867.00
  5. Step 5: Solve for x
    x = 57,145,750,867.00/358,879.54
  6. Step 6: Final answer
    x = 159,233.79

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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.