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Finding the Fourth Proportional to 117,158.27, 175,735.85 and 28,412.64

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Solution

The fourth proportional to 117,158.27, 175,735.85 and 28,412.64 is: 42,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,158.27 : 175,735.85 = 28,412.64 : x
  2. Step 2: Convert to fraction form
    117,158.27/175,735.85 = 28,412.64/x
  3. Step 3: Cross multiply
    117,158.27x = 175,735.85 × 28,412.64
  4. Step 4: Simplify right side
    117,158.27x = 4,993,119,299.08
  5. Step 5: Solve for x
    x = 4,993,119,299.08/117,158.27
  6. Step 6: Final answer
    x = 42,618.58

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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.