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Finding the Fourth Proportional to 117,209.56, 175,813.56 and 28,462.46

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Solution

The fourth proportional to 117,209.56, 175,813.56 and 28,462.46 is: 42,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,209.56 : 175,813.56 = 28,462.46 : x
  2. Step 2: Convert to fraction form
    117,209.56/175,813.56 = 28,462.46/x
  3. Step 3: Cross multiply
    117,209.56x = 175,813.56 × 28,462.46
  4. Step 4: Simplify right side
    117,209.56x = 5,004,086,418.96
  5. Step 5: Solve for x
    x = 5,004,086,418.96/117,209.56
  6. Step 6: Final answer
    x = 42,693.50

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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.