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Finding the Fourth Proportional to 185,736, 256,315.68 and 106,248

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Solution

The fourth proportional to 185,736, 256,315.68 and 106,248 is: 146,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,736 : 256,315.68 = 106,248 : x
  2. Step 2: Convert to fraction form
    185,736/256,315.68 = 106,248/x
  3. Step 3: Cross multiply
    185,736x = 256,315.68 × 106,248
  4. Step 4: Simplify right side
    185,736x = 27,233,028,368.64
  5. Step 5: Solve for x
    x = 27,233,028,368.64/185,736
  6. Step 6: Final answer
    x = 146,622.24

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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.