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Finding the Fourth Proportional to 115,944, 160,005.96 and 65,646.24

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Solution

The fourth proportional to 115,944, 160,005.96 and 65,646.24 is: 90,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,944 : 160,005.96 = 65,646.24 : x
  2. Step 2: Convert to fraction form
    115,944/160,005.96 = 65,646.24/x
  3. Step 3: Cross multiply
    115,944x = 160,005.96 × 65,646.24
  4. Step 4: Simplify right side
    115,944x = 10,503,789,651.59
  5. Step 5: Solve for x
    x = 10,503,789,651.59/115,944
  6. Step 6: Final answer
    x = 90,593.65

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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.