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Finding the Fourth Proportional to 140,065.94, 193,227.44 and 82,666.32

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Solution

The fourth proportional to 140,065.94, 193,227.44 and 82,666.32 is: 114,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,065.94 : 193,227.44 = 82,666.32 : x
  2. Step 2: Convert to fraction form
    140,065.94/193,227.44 = 82,666.32/x
  3. Step 3: Cross multiply
    140,065.94x = 193,227.44 × 82,666.32
  4. Step 4: Simplify right side
    140,065.94x = 15,973,401,387.82
  5. Step 5: Solve for x
    x = 15,973,401,387.82/140,065.94
  6. Step 6: Final answer
    x = 114,042.01

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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.