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Finding the Fourth Proportional to 116,666, 160,999.08 and 63,674

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Solution

The fourth proportional to 116,666, 160,999.08 and 63,674 is: 87,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,666 : 160,999.08 = 63,674 : x
  2. Step 2: Convert to fraction form
    116,666/160,999.08 = 63,674/x
  3. Step 3: Cross multiply
    116,666x = 160,999.08 × 63,674
  4. Step 4: Simplify right side
    116,666x = 10,251,455,419.92
  5. Step 5: Solve for x
    x = 10,251,455,419.92/116,666
  6. Step 6: Final answer
    x = 87,870.12

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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.