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Finding the Fourth Proportional to 256,717.96, 385,266.14 and 121,782.45

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Solution

The fourth proportional to 256,717.96, 385,266.14 and 121,782.45 is: 182,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,717.96 : 385,266.14 = 121,782.45 : x
  2. Step 2: Convert to fraction form
    256,717.96/385,266.14 = 121,782.45/x
  3. Step 3: Cross multiply
    256,717.96x = 385,266.14 × 121,782.45
  4. Step 4: Simplify right side
    256,717.96x = 46,918,653,822.33
  5. Step 5: Solve for x
    x = 46,918,653,822.33/256,717.96
  6. Step 6: Final answer
    x = 182,763.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.