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Finding the Fourth Proportional to 117,757.76, 176,683.83 and 42,883.12

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Solution

The fourth proportional to 117,757.76, 176,683.83 and 42,883.12 is: 64,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,757.76 : 176,683.83 = 42,883.12 : x
  2. Step 2: Convert to fraction form
    117,757.76/176,683.83 = 42,883.12/x
  3. Step 3: Cross multiply
    117,757.76x = 176,683.83 × 42,883.12
  4. Step 4: Simplify right side
    117,757.76x = 7,576,752,786.11
  5. Step 5: Solve for x
    x = 7,576,752,786.11/117,757.76
  6. Step 6: Final answer
    x = 64,341.86

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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.