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Finding the Fourth Proportional to 116,890.92, 175,403.34 and 49,417.56

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Solution

The fourth proportional to 116,890.92, 175,403.34 and 49,417.56 is: 74,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,890.92 : 175,403.34 = 49,417.56 : x
  2. Step 2: Convert to fraction form
    116,890.92/175,403.34 = 49,417.56/x
  3. Step 3: Cross multiply
    116,890.92x = 175,403.34 × 49,417.56
  4. Step 4: Simplify right side
    116,890.92x = 8,668,005,078.65
  5. Step 5: Solve for x
    x = 8,668,005,078.65/116,890.92
  6. Step 6: Final answer
    x = 74,154.65

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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.