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Finding the Fourth Proportional to 256,665.35, 354,241.89 and 149,297.63

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Solution

The fourth proportional to 256,665.35, 354,241.89 and 149,297.63 is: 206,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,665.35 : 354,241.89 = 149,297.63 : x
  2. Step 2: Convert to fraction form
    256,665.35/354,241.89 = 149,297.63/x
  3. Step 3: Cross multiply
    256,665.35x = 354,241.89 × 149,297.63
  4. Step 4: Simplify right side
    256,665.35x = 52,887,472,852.51
  5. Step 5: Solve for x
    x = 52,887,472,852.51/256,665.35
  6. Step 6: Final answer
    x = 206,056.14

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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.