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Finding the Fourth Proportional to 117,356.80, 176,035.20 and 42,512.80

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Solution

The fourth proportional to 117,356.80, 176,035.20 and 42,512.80 is: 63,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,356.80 : 176,035.20 = 42,512.80 : x
  2. Step 2: Convert to fraction form
    117,356.80/176,035.20 = 42,512.80/x
  3. Step 3: Cross multiply
    117,356.80x = 176,035.20 × 42,512.80
  4. Step 4: Simplify right side
    117,356.80x = 7,483,749,250.56
  5. Step 5: Solve for x
    x = 7,483,749,250.56/117,356.80
  6. Step 6: Final answer
    x = 63,769.20

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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.