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Finding the Fourth Proportional to 312,877.56, 469,037.94 and 113,153.55

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Solution

The fourth proportional to 312,877.56, 469,037.94 and 113,153.55 is: 169,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,877.56 : 469,037.94 = 113,153.55 : x
  2. Step 2: Convert to fraction form
    312,877.56/469,037.94 = 113,153.55/x
  3. Step 3: Cross multiply
    312,877.56x = 469,037.94 × 113,153.55
  4. Step 4: Simplify right side
    312,877.56x = 53,073,307,995.69
  5. Step 5: Solve for x
    x = 53,073,307,995.69/312,877.56
  6. Step 6: Final answer
    x = 169,629.64

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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.