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Finding the Fourth Proportional to 116,022.24, 160,100.75 and 64,341

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Solution

The fourth proportional to 116,022.24, 160,100.75 and 64,341 is: 88,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,022.24 : 160,100.75 = 64,341 : x
  2. Step 2: Convert to fraction form
    116,022.24/160,100.75 = 64,341/x
  3. Step 3: Cross multiply
    116,022.24x = 160,100.75 × 64,341
  4. Step 4: Simplify right side
    116,022.24x = 10,301,042,516.60
  5. Step 5: Solve for x
    x = 10,301,042,516.60/116,022.24
  6. Step 6: Final answer
    x = 88,785.07

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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.