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Finding the Fourth Proportional to 256,045.64, 353,286.30 and 148,553.32

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Solution

The fourth proportional to 256,045.64, 353,286.30 and 148,553.32 is: 204,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,045.64 : 353,286.30 = 148,553.32 : x
  2. Step 2: Convert to fraction form
    256,045.64/353,286.30 = 148,553.32/x
  3. Step 3: Cross multiply
    256,045.64x = 353,286.30 × 148,553.32
  4. Step 4: Simplify right side
    256,045.64x = 52,481,852,775.52
  5. Step 5: Solve for x
    x = 52,481,852,775.52/256,045.64
  6. Step 6: Final answer
    x = 204,970.69

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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.