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Finding the Fourth Proportional to 256,361.34, 353,784.15 and 143,184.30

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Solution

The fourth proportional to 256,361.34, 353,784.15 and 143,184.30 is: 197,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,361.34 : 353,784.15 = 143,184.30 : x
  2. Step 2: Convert to fraction form
    256,361.34/353,784.15 = 143,184.30/x
  3. Step 3: Cross multiply
    256,361.34x = 353,784.15 × 143,184.30
  4. Step 4: Simplify right side
    256,361.34x = 50,656,335,868.85
  5. Step 5: Solve for x
    x = 50,656,335,868.85/256,361.34
  6. Step 6: Final answer
    x = 197,597.41

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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.