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Finding the Fourth Proportional to 116,083.92, 160,059.07 and 107,475.72

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Solution

The fourth proportional to 116,083.92, 160,059.07 and 107,475.72 is: 148,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,083.92 : 160,059.07 = 107,475.72 : x
  2. Step 2: Convert to fraction form
    116,083.92/160,059.07 = 107,475.72/x
  3. Step 3: Cross multiply
    116,083.92x = 160,059.07 × 107,475.72
  4. Step 4: Simplify right side
    116,083.92x = 17,202,463,790.78
  5. Step 5: Solve for x
    x = 17,202,463,790.78/116,083.92
  6. Step 6: Final answer
    x = 148,189.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.