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Finding the Fourth Proportional to 117,648.48, 176,453.76 and 42,765.60

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Solution

The fourth proportional to 117,648.48, 176,453.76 and 42,765.60 is: 64,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,648.48 : 176,453.76 = 42,765.60 : x
  2. Step 2: Convert to fraction form
    117,648.48/176,453.76 = 42,765.60/x
  3. Step 3: Cross multiply
    117,648.48x = 176,453.76 × 42,765.60
  4. Step 4: Simplify right side
    117,648.48x = 7,546,150,918.66
  5. Step 5: Solve for x
    x = 7,546,150,918.66/117,648.48
  6. Step 6: Final answer
    x = 64,141.51

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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.