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Finding the Fourth Proportional to 117,709.20, 176,563.80 and 42,913.80

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Solution

The fourth proportional to 117,709.20, 176,563.80 and 42,913.80 is: 64,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,709.20 : 176,563.80 = 42,913.80 : x
  2. Step 2: Convert to fraction form
    117,709.20/176,563.80 = 42,913.80/x
  3. Step 3: Cross multiply
    117,709.20x = 176,563.80 × 42,913.80
  4. Step 4: Simplify right side
    117,709.20x = 7,577,023,600.44
  5. Step 5: Solve for x
    x = 7,577,023,600.44/117,709.20
  6. Step 6: Final answer
    x = 64,370.70

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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.