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Finding the Fourth Proportional to 116,744, 161,106.72 and 63,752

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Solution

The fourth proportional to 116,744, 161,106.72 and 63,752 is: 87,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,744 : 161,106.72 = 63,752 : x
  2. Step 2: Convert to fraction form
    116,744/161,106.72 = 63,752/x
  3. Step 3: Cross multiply
    116,744x = 161,106.72 × 63,752
  4. Step 4: Simplify right side
    116,744x = 10,270,875,613.44
  5. Step 5: Solve for x
    x = 10,270,875,613.44/116,744
  6. Step 6: Final answer
    x = 87,977.76

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