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Finding the Fourth Proportional to 195,496, 269,785.92 and 106,072

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Solution

The fourth proportional to 195,496, 269,785.92 and 106,072 is: 146,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,496 : 269,785.92 = 106,072 : x
  2. Step 2: Convert to fraction form
    195,496/269,785.92 = 106,072/x
  3. Step 3: Cross multiply
    195,496x = 269,785.92 × 106,072
  4. Step 4: Simplify right side
    195,496x = 28,616,732,106.24
  5. Step 5: Solve for x
    x = 28,616,732,106.24/195,496
  6. Step 6: Final answer
    x = 146,380.14

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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.