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Finding the Fourth Proportional to 116,766, 175,208.40 and 53,586

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Solution

The fourth proportional to 116,766, 175,208.40 and 53,586 is: 80,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,766 : 175,208.40 = 53,586 : x
  2. Step 2: Convert to fraction form
    116,766/175,208.40 = 53,586/x
  3. Step 3: Cross multiply
    116,766x = 175,208.40 × 53,586
  4. Step 4: Simplify right side
    116,766x = 9,388,717,322.40
  5. Step 5: Solve for x
    x = 9,388,717,322.40/116,766
  6. Step 6: Final answer
    x = 80,406.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.