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Finding the Fourth Proportional to 118,844.64, 164,007.45 and 71,100

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Solution

The fourth proportional to 118,844.64, 164,007.45 and 71,100 is: 98,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,844.64 : 164,007.45 = 71,100 : x
  2. Step 2: Convert to fraction form
    118,844.64/164,007.45 = 71,100/x
  3. Step 3: Cross multiply
    118,844.64x = 164,007.45 × 71,100
  4. Step 4: Simplify right side
    118,844.64x = 11,660,929,695
  5. Step 5: Solve for x
    x = 11,660,929,695/118,844.64
  6. Step 6: Final answer
    x = 98,119.10

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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.