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Finding the Fourth Proportional to 116,670.96, 175,074.40 and 49,198.86

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Solution

The fourth proportional to 116,670.96, 175,074.40 and 49,198.86 is: 73,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,670.96 : 175,074.40 = 49,198.86 : x
  2. Step 2: Convert to fraction form
    116,670.96/175,074.40 = 49,198.86/x
  3. Step 3: Cross multiply
    116,670.96x = 175,074.40 × 49,198.86
  4. Step 4: Simplify right side
    116,670.96x = 8,613,460,895.18
  5. Step 5: Solve for x
    x = 8,613,460,895.18/116,670.96
  6. Step 6: Final answer
    x = 73,826.95

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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.