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Finding the Fourth Proportional to 179,149.73, 268,646.76 and 54,461.57

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Solution

The fourth proportional to 179,149.73, 268,646.76 and 54,461.57 is: 81,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,149.73 : 268,646.76 = 54,461.57 : x
  2. Step 2: Convert to fraction form
    179,149.73/268,646.76 = 54,461.57/x
  3. Step 3: Cross multiply
    179,149.73x = 268,646.76 × 54,461.57
  4. Step 4: Simplify right side
    179,149.73x = 14,630,922,981.78
  5. Step 5: Solve for x
    x = 14,630,922,981.78/179,149.73
  6. Step 6: Final answer
    x = 81,668.69

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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.