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Finding the Fourth Proportional to 256,028.56, 353,262.84 and 148,536.32

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Solution

The fourth proportional to 256,028.56, 353,262.84 and 148,536.32 is: 204,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,028.56 : 353,262.84 = 148,536.32 : x
  2. Step 2: Convert to fraction form
    256,028.56/353,262.84 = 148,536.32/x
  3. Step 3: Cross multiply
    256,028.56x = 353,262.84 × 148,536.32
  4. Step 4: Simplify right side
    256,028.56x = 52,472,362,246.35
  5. Step 5: Solve for x
    x = 52,472,362,246.35/256,028.56
  6. Step 6: Final answer
    x = 204,947.30

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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.