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Finding the Fourth Proportional to 117,232.85, 161,763.05 and 69,478.49

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Solution

The fourth proportional to 117,232.85, 161,763.05 and 69,478.49 is: 95,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,232.85 : 161,763.05 = 69,478.49 : x
  2. Step 2: Convert to fraction form
    117,232.85/161,763.05 = 69,478.49/x
  3. Step 3: Cross multiply
    117,232.85x = 161,763.05 × 69,478.49
  4. Step 4: Simplify right side
    117,232.85x = 11,239,051,295.59
  5. Step 5: Solve for x
    x = 11,239,051,295.59/117,232.85
  6. Step 6: Final answer
    x = 95,869.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.