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Finding the Fourth Proportional to 256,024.56, 353,257.32 and 148,532.32

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Solution

The fourth proportional to 256,024.56, 353,257.32 and 148,532.32 is: 204,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,024.56 : 353,257.32 = 148,532.32 : x
  2. Step 2: Convert to fraction form
    256,024.56/353,257.32 = 148,532.32/x
  3. Step 3: Cross multiply
    256,024.56x = 353,257.32 × 148,532.32
  4. Step 4: Simplify right side
    256,024.56x = 52,470,129,296.58
  5. Step 5: Solve for x
    x = 52,470,129,296.58/256,024.56
  6. Step 6: Final answer
    x = 204,941.78

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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.