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Finding the Fourth Proportional to 197,083.63, 271,975.41 and 107,659.63

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Solution

The fourth proportional to 197,083.63, 271,975.41 and 107,659.63 is: 148,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,083.63 : 271,975.41 = 107,659.63 : x
  2. Step 2: Convert to fraction form
    197,083.63/271,975.41 = 107,659.63/x
  3. Step 3: Cross multiply
    197,083.63x = 271,975.41 × 107,659.63
  4. Step 4: Simplify right side
    197,083.63x = 29,280,772,009.70
  5. Step 5: Solve for x
    x = 29,280,772,009.70/197,083.63
  6. Step 6: Final answer
    x = 148,570.29

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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.