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Finding the Fourth Proportional to 116,000.57, 160,094.07 and 65,027.07

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Solution

The fourth proportional to 116,000.57, 160,094.07 and 65,027.07 is: 89,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,000.57 : 160,094.07 = 65,027.07 : x
  2. Step 2: Convert to fraction form
    116,000.57/160,094.07 = 65,027.07/x
  3. Step 3: Cross multiply
    116,000.57x = 160,094.07 × 65,027.07
  4. Step 4: Simplify right side
    116,000.57x = 10,410,448,296.47
  5. Step 5: Solve for x
    x = 10,410,448,296.47/116,000.57
  6. Step 6: Final answer
    x = 89,744.80

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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.