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Finding the Fourth Proportional to 117,434.16, 162,101.16 and 69,687.49

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Solution

The fourth proportional to 117,434.16, 162,101.16 and 69,687.49 is: 96,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,434.16 : 162,101.16 = 69,687.49 : x
  2. Step 2: Convert to fraction form
    117,434.16/162,101.16 = 69,687.49/x
  3. Step 3: Cross multiply
    117,434.16x = 162,101.16 × 69,687.49
  4. Step 4: Simplify right side
    117,434.16x = 11,296,422,966.49
  5. Step 5: Solve for x
    x = 11,296,422,966.49/117,434.16
  6. Step 6: Final answer
    x = 96,193.68

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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.