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Finding the Fourth Proportional to 358,854.60, 538,387.16 and 106,141.75

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Solution

The fourth proportional to 358,854.60, 538,387.16 and 106,141.75 is: 159,243.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,854.60 : 538,387.16 = 106,141.75 : x
  2. Step 2: Convert to fraction form
    358,854.60/538,387.16 = 106,141.75/x
  3. Step 3: Cross multiply
    358,854.60x = 538,387.16 × 106,141.75
  4. Step 4: Simplify right side
    358,854.60x = 57,145,355,339.93
  5. Step 5: Solve for x
    x = 57,145,355,339.93/358,854.60
  6. Step 6: Final answer
    x = 159,243.76

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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.