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Finding the Fourth Proportional to 178,571.32, 246,436.14 and 106,963

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Solution

The fourth proportional to 178,571.32, 246,436.14 and 106,963 is: 147,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,571.32 : 246,436.14 = 106,963 : x
  2. Step 2: Convert to fraction form
    178,571.32/246,436.14 = 106,963/x
  3. Step 3: Cross multiply
    178,571.32x = 246,436.14 × 106,963
  4. Step 4: Simplify right side
    178,571.32x = 26,359,548,842.82
  5. Step 5: Solve for x
    x = 26,359,548,842.82/178,571.32
  6. Step 6: Final answer
    x = 147,613.56

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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.