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Finding the Fourth Proportional to 195,164.63, 269,401.51 and 127,198.14

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Solution

The fourth proportional to 195,164.63, 269,401.51 and 127,198.14 is: 175,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,164.63 : 269,401.51 = 127,198.14 : x
  2. Step 2: Convert to fraction form
    195,164.63/269,401.51 = 127,198.14/x
  3. Step 3: Cross multiply
    195,164.63x = 269,401.51 × 127,198.14
  4. Step 4: Simplify right side
    195,164.63x = 34,267,370,985.19
  5. Step 5: Solve for x
    x = 34,267,370,985.19/195,164.63
  6. Step 6: Final answer
    x = 175,581.87

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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.