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Finding the Fourth Proportional to 150,701.60, 207,968.16 and 83,633.60

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Solution

The fourth proportional to 150,701.60, 207,968.16 and 83,633.60 is: 115,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,701.60 : 207,968.16 = 83,633.60 : x
  2. Step 2: Convert to fraction form
    150,701.60/207,968.16 = 83,633.60/x
  3. Step 3: Cross multiply
    150,701.60x = 207,968.16 × 83,633.60
  4. Step 4: Simplify right side
    150,701.60x = 17,393,125,906.18
  5. Step 5: Solve for x
    x = 17,393,125,906.18/150,701.60
  6. Step 6: Final answer
    x = 115,414.34

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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.