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Finding the Fourth Proportional to 195,506, 269,798.28 and 106,082

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Solution

The fourth proportional to 195,506, 269,798.28 and 106,082 is: 146,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,506 : 269,798.28 = 106,082 : x
  2. Step 2: Convert to fraction form
    195,506/269,798.28 = 106,082/x
  3. Step 3: Cross multiply
    195,506x = 269,798.28 × 106,082
  4. Step 4: Simplify right side
    195,506x = 28,620,741,138.96
  5. Step 5: Solve for x
    x = 28,620,741,138.96/195,506
  6. Step 6: Final answer
    x = 146,393.16

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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.