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Finding the Fourth Proportional to 256,689.35, 354,089.10 and 149,247.51

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Solution

The fourth proportional to 256,689.35, 354,089.10 and 149,247.51 is: 205,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,689.35 : 354,089.10 = 149,247.51 : x
  2. Step 2: Convert to fraction form
    256,689.35/354,089.10 = 149,247.51/x
  3. Step 3: Cross multiply
    256,689.35x = 354,089.10 × 149,247.51
  4. Step 4: Simplify right side
    256,689.35x = 52,846,916,493.14
  5. Step 5: Solve for x
    x = 52,846,916,493.14/256,689.35
  6. Step 6: Final answer
    x = 205,878.88

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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.