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Finding the Fourth Proportional to 118,899.96, 164,087.12 and 71,144.16

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Solution

The fourth proportional to 118,899.96, 164,087.12 and 71,144.16 is: 98,182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,899.96 : 164,087.12 = 71,144.16 : x
  2. Step 2: Convert to fraction form
    118,899.96/164,087.12 = 71,144.16/x
  3. Step 3: Cross multiply
    118,899.96x = 164,087.12 × 71,144.16
  4. Step 4: Simplify right side
    118,899.96x = 11,673,840,319.22
  5. Step 5: Solve for x
    x = 11,673,840,319.22/118,899.96
  6. Step 6: Final answer
    x = 98,182.04

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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.