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Finding the Fourth Proportional to 312,884.42, 469,119.24 and 113,178.51

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Solution

The fourth proportional to 312,884.42, 469,119.24 and 113,178.51 is: 169,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,884.42 : 469,119.24 = 113,178.51 : x
  2. Step 2: Convert to fraction form
    312,884.42/469,119.24 = 113,178.51/x
  3. Step 3: Cross multiply
    312,884.42x = 469,119.24 × 113,178.51
  4. Step 4: Simplify right side
    312,884.42x = 53,094,216,595.53
  5. Step 5: Solve for x
    x = 53,094,216,595.53/312,884.42
  6. Step 6: Final answer
    x = 169,692.75

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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.