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Finding the Fourth Proportional to 116,641.24, 160,936.26 and 65,644

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Solution

The fourth proportional to 116,641.24, 160,936.26 and 65,644 is: 90,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,641.24 : 160,936.26 = 65,644 : x
  2. Step 2: Convert to fraction form
    116,641.24/160,936.26 = 65,644/x
  3. Step 3: Cross multiply
    116,641.24x = 160,936.26 × 65,644
  4. Step 4: Simplify right side
    116,641.24x = 10,564,499,851.44
  5. Step 5: Solve for x
    x = 10,564,499,851.44/116,641.24
  6. Step 6: Final answer
    x = 90,572.60

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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.