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Finding the Fourth Proportional to 116,815, 161,204.70 and 63,823

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Solution

The fourth proportional to 116,815, 161,204.70 and 63,823 is: 88,075.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,815 : 161,204.70 = 63,823 : x
  2. Step 2: Convert to fraction form
    116,815/161,204.70 = 63,823/x
  3. Step 3: Cross multiply
    116,815x = 161,204.70 × 63,823
  4. Step 4: Simplify right side
    116,815x = 10,288,567,568.10
  5. Step 5: Solve for x
    x = 10,288,567,568.10/116,815
  6. Step 6: Final answer
    x = 88,075.74

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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.