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Finding the Fourth Proportional to 111,609.09, 153,944.10 and 71,305.02

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Solution

The fourth proportional to 111,609.09, 153,944.10 and 71,305.02 is: 98,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,609.09 : 153,944.10 = 71,305.02 : x
  2. Step 2: Convert to fraction form
    111,609.09/153,944.10 = 71,305.02/x
  3. Step 3: Cross multiply
    111,609.09x = 153,944.10 × 71,305.02
  4. Step 4: Simplify right side
    111,609.09x = 10,976,987,129.38
  5. Step 5: Solve for x
    x = 10,976,987,129.38/111,609.09
  6. Step 6: Final answer
    x = 98,352.09

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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.